Question

) Describe the x-intercept and y-intercept of

the line described by the equation
-3x + 4y = 12. Show your work! (4 points)

Answer 1

The x-intercept of the line is (-4, 0) and the y-intercept of the line is (0, 3).

Step-by-step explanation:

To find the x-intercept, we set y = 0 and solve for x. Substitute 0 for y in the equation and solve for x. -3x + 4(0) = 12 Simplifying the equation, we get -3x = 12, which implies x = -4. This means that the x-intercept is at (-4, 0).

To find the y-intercept, we set x = 0 and solve for y. Substitute 0 for x in the equation and solve for y. -3(0) + 4y = 12 Simplifying the equation, we get 4y = 12, which implies y = 3. This means that the y-intercept is at (0, 3).

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