Question

3x-2y=6 y=3/2x-3 Find the slope, x-intercept, and y-intercept for both equations.

Answer 1

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have 3x - 2y = 6       subtract 3x from both sides

-2y = -3x + 6      divide both sides by -2

y = 3/2 x - 3

slope: m = 3/2

y-intercept: b = -3

x-intercept for y = 0. Substitute:

3/2 x - 3 = 0      add 3 to both sides

3/2 x = 3       multiply both sides by 2/3

x = 2

Answer:

slope = 3/2

y-intercept = -3

x-intercept = 2

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y = 3/2 x - 3 it's the same function like first function.