slope

If the slope is 6 what would the slope of a line parallel to it be? Our rule for the relation of second lines to first lines with regards to slope is this: Parallel lines have the same slope Perpendicular lines have the negative reciprocal slope So the slope of the line parallel would also be 6

The graph shows the average length (in inches) of a newborn baby over the course of its first 15 months. Interpret the RATE OF CHANGE of the graph. Looking at our graph, we have a straight line. For straight lines, rate of change equals slope. Looking at a few points, we have: (0, 20)...

A student and the marine biologist are together at t = 0. The student ascends more slowly than the marine biologist. Write an equation of a function that could represent the student's ascent. Please keep in mind the slope for the marine biologist is 12. Slope means rise over run. In this case...

A direct variation includes the points ( – 5, – 20) and (n,8). Find n. Slopes are proportional for rise over run. Set up a proportion of x's to y's: -5/n = -20/8 To solve this proportion for n, we type it in our math engine and we get: n = 2

A plane is flying at an altitude of 45,000 feet. It begins to drop in altitude 3,000 feet per minute. What is the slope in this situation? Set up a graph where minutes is on the x-axis and altitude is on the y-axis. Minute 1 = (1, 42,000) Minute 2 = (2, 39,000) Minute 3 = (3, 36,000) Minute 4...

Jessica has 16 pairs of shoes. She buys 2 additional pair of shoes every month. What is the slope in this situation? Set up a graph where months is on the x-axis and number of shoes Jessica owns is on the y-axis. Month 1 = (1, 18) Month 2 = (2, 20) Month 3 = (3, 22) Month 4 = (4, 24) You can...

Find y if the line through (1, y) and (2, 7) has a slope of 4. Given two points (x1, y1) and (x2, y2), Slope formula is: slope = (y2 - y1)/(x2 - x1) Plugging in our coordinates and slope to this formula, we get: (7 - y)/(2 - 1) = 4 7 - y/1 = 4 7 - y = 4 To solve this equation for y, we type...

Big John weighs 300 pounds and is going on a diet where he'll lose 3 pounds per week. Write an equation in slope-intercept form to represent this situation. The slope intercept form is y = mx + b y is John's weight x is the number of weeks A 3 pound per week weight loss means -3 as the...

If MN is perpendicular to PQ and the slope of PQ is -4 what is the slope for MN the slope of a line perpendicular to another line is the negative reciprocal. Therefore: Slope of MN = -1/Slope of PQ Slope of MN = -1/-4 Slope of MN = 1/4

A line has a slope of 1/2 and a run of 50. Find the rise of the line. Slope = Rise/Run We're given a run of 50, so let the rise be r. We have: r/50 = 1/2 To solve this proportion, we type it in our search engine and we get: r = 25

Write an equation in slope-intercept form for the line with slope 4 and y-intercept -7 The standard equation for slope (m) and y-intercept (b) is given as: y = mx + b We're given m = 4 and y-intercept = -7, so we have: y = 4x - 7

A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface after 40 seconds later. At what rate is the scuba diver going deeper down in the water If we take these as coordinates on a graph, where y is the depth and x is the time...

A hill rises 60 ft for every horizontal 96 ft. Find the slope. Slope = Rise / Run Slope = 60/96 Using our fraction simplifier, we reduce 60/96 to 5/8

the equation of a line is y = mx + 4. find m if the line passes through (-5,0) Plug in our numbers of x = -5, and y = 0: -5m + 4 = 0 To solve for m, we plug in this equation into our search engine and we get: m = 0.8 or 4/5 so our line equation becomes: y = 4/5x + 4

A line passes through the point -3,4 and has a slope of -5 Using our point slope calculator, we get a line equation of: y = -5x - 11

Explain the steps you would take to find an equation for the line perpendicular to 4x - 5y = 20 and sharing the same y-intercept Get this in slope-intercept form by adding 5y to each side: 4x - 5y + 5y = 5y + 20 Cancel the 5y's on the left side and we get: 5y + 20 = 4x Subtract 20 from each...

A line has a slope of 7 and a y-intercept of -4. What is its equation in slope intercept form The slope-intercept equation for a line: y = mx + b where m is the slope Given m = 7, we have: y = 7x + b The y-intercept is found by setting x to 0: y = 7(0) + b y = 0 + b y = b We're given the...

Find the gradient of the the line with the equation 8x - 4y =12 Type this equation into our search engine and choose "slope" and we get: Slope (gradient) = 2

A roof drops 4 feet for every 12 feet forward. Determine the slope of the roof. Slope = Rise or Drop / Run Slope = 4/12 We can simplify this fraction. We type 4/12 into our search engine and get: Slope. = 1/3

What is the slope of the line through (1,9) and (5,3) We run this through our slope calculator, and get an initial slope of 6/4. But this is not in simplest form. So we type 6/4 into our calculator, and select the simplify option. We get 3/2