Question

What are the x-intercepts and y-intercepts of 2x + 3y = 6?

x-intercept: (3, 0); y-intercept: (0, 2)
x-intercept: (0, 2); y-intercept: (3, 0)
x-intercept: (0, 3); y-intercept: (2, 0)
x-intercept: (2, 0); y-intercept: (0, 3)

Answer 1

To find the x-intercept, substitute in 0 for y and solve for x

2x−3⋅0=6

Solve the equation.

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x=3

To find the y-intercept, substitute in 0

for x and solve for y

2(0)−3y=6

Solve the equation.

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y=−2

These are the x

and y intercepts of the equation 2x−3y=6

x-intercept: (3,0)

y-intercept: (0,−2)

Hope this helps!