Slope Between Two Points
Find the slope between (5, 12) and (6, 2).
Slope = (2 - 12)/(6 - 5) = –10
What is the y-intercept of y = 3x + 5?
5
Find the x-intercept of y = 2x – 6.
Set y = 0 → 0 = 2x – 6 → x = 3
A line drops from (0, 5) to (5, 0). What’s the slope?
(0 - 5)/(5 - 0) = –1
Write the equation for slope 2 and y-intercept –3.
y = 2x – 3
Find the slope between (3, 5) and (7, 13).
Slope = (13 - 5)/(7 - 3) = 2
Identify the y-intercept of the line: y = –2x + 9.
9
What is the x-intercept of 4x + 3y = 9?
Set y = 0 → 4x = 9 → x = 2.25
What is the slope of the horizontal line y = –3?
0
Find the slope between (1, 5) and (3, 11), then write the equation.
Slope = 3 → y = 3x + 2
What is the slope between the points (–4, 3) and (2, –3)?
Slope = (–3 - 3)/(2 - (–4)) = –6/6 = –1
From the equation y = 25 – 4x, what is the y-intercept?
25
x-intercept of y = –1/2x + 4?
0 = –1/2x + 4 → x = 8
What is the slope from the table?
(1, 10)
(2, 5)
(3, 0)
Change = –5 each step → –5
Line through (2, –1) with slope –2. Write the equation.
y + 1 = –2(x – 2) → y = –2x + 3
Find the slope between (1, –2) and (5, 10).
Slope = (10 - (–2))/(5 - 1) = 12/4 = 3
In the equation 5x + 2y = 10, what is the y-intercept?
= 0 → 2y = 10 → y = 5
x-intercept of y = 3x + 15?
0 = 3x + 15 → x = –5
A graph rises 6 units for every 2 units right. Find the slope.
Rise/run = 6/2 = 3
A line has slope 4 and passes through (–1, 2). Write in slope-intercept form.
y – 2 = 4(x + 1) → y = 4x + 6
The points (–3, –7) and (4, y) lie on a line with slope 2. Find y.
2 = (y + 7)/(4 + 3) → y + 7 = 14 → y = 7
What is the y-intercept of the graph that passes through (–2, 4) and has slope –3?
Use point-slope: y – 4 = –3(x + 2) → y = –3x – 2 → –2
What is the x-intercept of a graph passing through (0, –4) and (4, 0)?
x-intercept = 4
You’re given a line that runs through (–2, 4) and (2, –4). What’s the slope?
(–4 – 4)/(2 – (–2)) = –8/4 = –2
Convert to slope-intercept: y – 4 = 2(x + 1)
Distribute: y – 4 = 2x + 2 → y = 2x + 6