x intercept = -2
y intercept = 2
(-2, 0) (0, 2)
y = mx + b
m = (y2 -y1) / (x2-x1)
m = 2 - 0 / 0 - (-2)
m = 1
if y = 2, x = 0
2 = 1(0) + b
b = 2
y = mx +b
y = 1x + 2
1x - y = -2
The equation of the line in the form Ax + By = C is 1x - y = -2
x intercept = 4
y intercept = -3
(4, 0) (0, -3)
m = - 3 - 0 / 0 - (4)
m = 3/4
if y = -3, x = 0
-3 = 3/4(0) + b
b = -3
y = 3/4x - 3
3/4x - y = 3
The equation of the line in the form Ax + By = C is 3/4x - y = 3
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Answers & Comments
Problem 1:
Given:
x intercept = -2
y intercept = 2
(-2, 0) (0, 2)
Solution:
y = mx + b
m = (y2 -y1) / (x2-x1)
m = 2 - 0 / 0 - (-2)
m = 1
if y = 2, x = 0
y = mx + b
2 = 1(0) + b
b = 2
y = mx +b
y = 1x + 2
1x - y = -2
Answer:
The equation of the line in the form Ax + By = C is 1x - y = -2
Problem 2:
Given:
x intercept = 4
y intercept = -3
(4, 0) (0, -3)
Solution:
y = mx + b
m = (y2 -y1) / (x2-x1)
m = - 3 - 0 / 0 - (4)
m = 3/4
if y = -3, x = 0
y = mx + b
-3 = 3/4(0) + b
b = -3
y = mx +b
y = 3/4x - 3
3/4x - y = 3
Answer:
The equation of the line in the form Ax + By = C is 3/4x - y = 3
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