Question

Write the equation in slope-intercept form.x = −4/5y + 2

Answer 1

The slope intercept form of a line is:

`y=mx+b`

Where:

m is the slope

b is the y-coordinate of the y-intercept

In this case, we are given:

`x=-(4)/(5)y+2`

To find the slope intercept form, we need to solve for y:

`\begin{gathered} x=-(4)/(5)y+2 \\ . \\ x-2=-(4)/(5)y \\ (-5(x-2))/(4)=y \\ . \\ y=-(5)/(4)x+(5)/(2) \end{gathered}`

Then:

Equation in slope-intercept form:

`y=-(5)/(4)x+(5)/(2)`

Slope:

`Slope=-(5)/(4)`

y-intercept:

`(x,y)=(0,(5)/(2))`

(the y-intercept always occur when x = 0)