Given the x-intercept and the y-intercept, write the equation of the line in slope-
intercept form.
1. x-intercept = 3, y-intercept = 2
2. x-intercept = -4, y-intercept = 1
3. x-intercept = 5, y-intercept = -2
4. x-intercept = -7, y-intercept = -1
5. x-intercept = 2, y-intercept = -6
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Given the x-intercept and the y-intercept, write the equation of the line in slope - intercept form.
Problem 1:
1. x-intercept = 3, y-intercept = 2
Given:
x intercept = 3
y intercept = 2
Solution:
(3, 0) (0, 2)
y = mx + b
b = 2
if y = 0
0 = m(3) + 2
m = -2/3
y = -2/3x + 2
Answer:
y = -2/3x + 2 equation in slope intercept form
Problem 2:
2. x-intercept = -4, y-intercept = 1
Given:
x intercept = -4
y intercept = 1
Solution:
(-4, 0) (0, 1)
y = mx + b
b = 1
if y = 0
0 = m(- 4) + 1
m = 1/4
y = 1/4x + 1
Answer:
y = 1/4x + 1 equation in slope intercept form
Problem 3:
3.) x-intercept = 5, y-intercept = -2
Given:
x intercept = 5
y intercept = -2
Solution:
(5, 0) (0, -2)
y = mx + b
b = -2
if y = 0
0 = m(5) - 2
m = 2/5
y = 2/5x - 2
Answer:
y = 2/5x - 2 equation in slope intercept form
Problem 4:
4.) x-intercept = -7, y-intercept = -1
Given:
x intercept = - 7
y intercept = - 1
Solution:
(-7, 0) (0, -1)
y = mx + b
b = - 1
if y = 0
0 = m(-7) - 1
m = -1/7
y = -1/7x - 1
Answer:
y = -1/7x - 1 equation in slope intercept form
Problem 5:
5.) x-intercept = 2, y-intercept = -6
Given:
x intercept = 2
y intercept = - 6
Solution:
(2, 0) (0, -6)
y = mx + b
b = - 6
if y = 0
0 = m(2) - 6
m = 3
y = 3x - 6
Answer:
y = 3x - 6 equation in slope intercept form
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