Question

Whats the x and y-intercepts? y=5x−13,

Answer 1

x-intercept: (2.6, 0) or
`((13)/(5),0)`

y-intercept: (0, -13)

Explanation:

Because the equation is written in slope-intercept form using the formula

`y=mx+b`

b = y-intercept

y-intercept will be (0, -13)

To find x-intercept basically substitute 0 for y and solve for x

so x-intercept will be
`((13)/(5),0)` or simplified (2.6, 0)

Answer 2

Explanation:

So in a linear function, it follows the form of y=mx+b where m is the slope of the graph (rise/run) and b is the y-intercept.

Since b is (-13) that is the y-intercept.

This can also be confirmed by making x=0 since that is where the y-intercept occurs.

y=5x-13

y=5(0)-13

y=-13

To find the x-intercept, we need to make y equal zero since that is where x-intercepts are found.

0=5x-13

(now solve using algebra to isolate x)

(add 13 to both sides)

13=5x

(divide 5 from both sides)

13/5 = x

2.6=x

Your y-intercept is -13 and the x-intercept is 13/5.

Hope this Helps :D