Question

Write the slope-intercept form of the equation. Put your answer in y = mx + b form.Passing through (-4, -8) and (-8, -13)

Answer 1

`y=(5)/(4)x-3`

Explanation:

Linear functions are represented by the following equation:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

The slope of a line is given as;

`m=(y_2-y_1)/(x_2-x_1)`

(-4,-8) and (-8,-13):

`\begin{gathered} m=(-8-(-13))/(-4-(-8)) \\ m=(5)/(4) \end{gathered}`

Use the slope-point form of a line, to find the slope-intercept form:

`\begin{gathered} y_{}-y_1=m(x_1-x_{}) \\ y+8=(5)/(4)(x+4) \\ y+8=1.25\mleft(x+4\mright) \\ y=(5)/(4)x-13 \\ y+8=(5)/(4)x+(20)/(4) \\ y=(5)/(4)x+5-8 \\ y=(5)/(4)x-3 \end{gathered}`