A measure of the steepness and direction of a line, calculated as the ratio of vertical change (rise) to horizontal change (run) between any two points on the line. Slope is written as m=x2−x1y2−y1 and indicates how much y changes for each unit increase in x.
How much the line goes up for every step to the right. Steeper = bigger slope.
Showing a random 20 of 50 problems.
Example 1
challenge
Points A(0,0), B(6,8), and C(c,0) form a right triangle with the right angle at B. Find c.Right triangle ABC with right angle at B(6,8) — find c.
Example 2
hard
A line has x-intercept 4 and y-intercept −6. Find its slope.Find the slope of the line with x-int 4 and y-int −6.
Example 3
medium
Find the slope between (21,3) and (25,11).Find the slope through (½,3) and (5/2,11).
Example 4
medium
Convert 6x+2y=14 to slope-intercept form.
Example 5
medium
A car's distance after t hours is 60t+20 miles. What does the slope 60 represent?
Example 6
easy
Find the slope of the line through (1,2) and (4,8).Find the slope through A(1,2) and B(4,8).
Example 7
easy
Find the slope of the line y=5.
Example 8
hard
A pool drains at a steady rate. After 2 minutes it holds 480 gallons; after 7 minutes it holds 355 gallons. What is the slope (gallons per minute)?Pool draining: find the slope (gallons per minute).
Example 9
medium
Are the lines y=21x+3 and 2x−4y=7 parallel?
Example 10
medium
Find the slope of the line perpendicular to one with slope 35.
Example 11
easy
A vertical line has slope equal to what?
Example 12
easy
Find the slope of the line through (3,7) and (5,7).Find the slope through A(3,7) and B(5,7).
Example 13
medium
A line passes through (1,4) and (3,10). Where does it cross the y-axis?Where does the line through (1,4) and (3,10) cross the y-axis?
Example 14
easy
Find the slope of the line through (−1,−4) and (2,5).Find the slope through A(−1,−4) and B(2,5).
Example 15
medium
What's the slope of a wheelchair ramp that rises 2 ft over a 24-ft run?
Example 16
easy
Find the slope of the line passing through points (2,3) and (6,11).Find the slope of the line through A and B.
Example 17
medium
Find the slope of 2x+3y=12.Find the slope of 2x + 3y
Example 18
medium
Find the slope of the line passing through (2,5) and (6,13).Find the slope through A(2,5) and B(6,13).
Example 19
easy
A ramp rises 3 ft over a 15 ft horizontal run. What is its slope?
Example 20
challenge
Three points (1,2), (4,8), (k,14) are collinear. Find k.A(1,2), B(4,8), C(k,14) are collinear. Find k.