Question

What are the x-intercept and y-intercept of the graph of y=−12x+4 ? Drag and drop your answers into the boxes. x-intercept: y-intercept:

Answer 1

Answer:

y intercept = 4

x intercept = 1/3

x - intercept

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

0 = -12x + 4

0 = -12 (1/3) + 4

0 = -4 + 4

0 = 0

The x - intercept is 1/3

y - intercept

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

y = -12 (0) + 4

y = 0 + 4

y = 4

The y - intercept is 4.

Answer 2

The x-intercept is $\dfrac{1}{3}$ and the y-intercept is $4$.

It is given that,

• Equation of a line is $y=-12x+4$.

Explanation:

Substitute $y=0$ in the given equation to find the x-intercept.

$0=-12x+4$

$12x=4$

$x=\dfrac{4}{12}$

$x=\dfrac{1}{3}$

The x-intercept is $\dfrac{1}{3}$.

Substitute $x=0$ in the given equation to find the y-intercept.

$y=-12(0)+4$

$y=4$

The  y-intercept is $4$.

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