Question

Which are the intercepts of the equation y+2=4(x+1) ?

Answer 1

Answer:

x-intercept is ($- \frac{1}{2}, 0$) and y-intercept is ($0, 2$)

Step-by-step explanation:

How do we find the y-intercept of a function?

We solve the equation when x=0. Let's try that with $y+2=4(x+1)$

First, let's simplify it so that it resembles $y=mx+b$ more noticeably

$y = 4x + 4 - 2 \\y = 4x + 2$

Now let's plug in 0 for x to find the y-intercept:

$y = 4\cdot 0 + 2\\y = 2$

How do we find the x-intercept of a function?

We solve the equation when y=0. Let's try this from the simplified equation we got ($y = 4x + 2$)

$0 = 4x + 2\\-2 = 4x\\\frac{-2}{4} = x\\x = - \frac{1}{2}$

We must remind ourselves that all y-intercepts have an x that is equal to 0 and that all x-intercepts have a y equal to 0.

That means that our x-intercept will be ($- \frac{1}{2}, 0$) and our y-intercept will be ($0, 2$)

This corresponds to the 3rd option counting from the left.

Good luck!