Enter the equation of the line in slope-intercept form.
Slope is 5, and (5,2) is on the line.
The equation of the line is y =

Respuesta :

Answer:

y=5x-23

Step-by-step explanation:

Slope-intercept form is: [tex]y=mx+b[/tex]

'm' is the slope.

'b' is the y-intercept.

What we know:

  • We are given the slope of 5.
  • We are given a coordinate. (5,2)

What we need to do:

  • We will use the coordinate and the slope to complete the equation.

Solving The Equation:

We are already given the slope of five. So, m = 5.

We are given a coordinate. So, to solve the y-intercept, we will use:

x = 5

y = 2

[tex]2=5(5)+b\\\rightarrow5*5 =25\\2=25+b\\\rightarrow 2-25=25-25+b\\\boxed{-23=b}[/tex]

So, the y-intercept should be -23.

Your answer should be:

[tex]y=5x-23[/tex]