Question

-2x + 3y - 4 =0
Find the x-intercept and y-intercept of the line

Answer 1

Explanation:

To find the x-intercept, set y = 0 and solve for x.

-2x + 3y - 4 = 0

-2x + 3(0) - 4 = 0

-2x + 0 - 4 = 0

-2x - 4 = 0

-2x = 4

x = 4/-2

x = -2 The x-intercept is -2

To find the y-intercept, set x = 0 and solve for y.

-2x + 3y - 4 = 0

-2(0) + 3y - 4 = 0

0 + 3y - 4 = 0

3y - 4 = 0

3y = 4

y = 4/3 The y-intercept is 4/3