Question

Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.Point (5,-2); Slope = 5

Answer 1

y = 5x - 27

Step-by-step explanation:

The standard expression of a line in slope-intercept form is expressed as;

`y-y_0=m(x-x_0)`

m is the slope of the line

(x0, y0) is any point on the line

Given the parameters

Slope = 5

Point = (5, -2)

Substitute the given parameters into the formula:

`\begin{gathered} y-(-2)=5(x-5) \\ y+2=5(x-5) \end{gathered}`

Next is to express the result in slope-intercept form y = mx + b as shown:

`\begin{gathered} y+2=5x-25 \\ y=5x-2-25 \\ y=5x-27 \end{gathered}`

Hence the equation of the line in slope-intercept form is y = 5x - 27