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: Response area

y-intercept: Response area

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

When we talk about y-intercept, we mean the point where x-ordinate is 0.

So, converting this equation in such a form so that when we represent it by y-y1=m(x-x1), x1 = 0.

Here,

=> y = - (1/2)x + 4

=> y - 4 = - (1/2)x

=> (y - 4) = (-1/2)(x - 0), now you can compare.

y-intercept is 4.

Similarly, transform this equation in form of y-y1=m(x-x1) when y1 = 0

=> y = -(1/2)x + 4

=> y = -1/2 (x - 8)

=> y - 0 = (-1/2)(x - 8), now you can compare.

x-intercept is 8.

There is an another way. Equations can also be written in form of x/a + y/b = 1, where a is x-intercept and b is y-intercept.

=> y = -(1/2)x + 4

=> y + x/2 = 4

=> y/4 + x/8 = 1, means,

y intercept is 4 and x intercept is 8