Question

How do you find the x and y intercepts for `y= 4x - 7`?

Answer 1

y-intercept: `(-7)`
x-intercept:`7/4`

Explanation:

The y-intercept is the value of `y` where the equation's line crosses the Y-axis.
For all points on the Y-axis, `x=0`
So the y-intercept is the value of `y` when `x=0`

For the given equation this becomes:
`color(white)("XXX")y =4(0)-7 = -7`
So the y-intercept is `(-7)`

Similarly, the x-intercept is the value of `x` when `y=0`

For the given equation this becomes
`color(white)("XXX")0 = 4x-7`

`color(white)("XXX")rarr 4x=7`

`color(white)("XXX")rarr x= 7/4`

So the x-intercept is `7/4`