Question

Write the equation of the line, with the given properties, in slope-intercept form. Slope = -7, through (-5,7)

Answer 1

the general equation of a line is

`y=mx+b`

where m is the slope an b an initial point

we can replace m=-7 and (x,y)=(-5,7) to find b an creat the equation for this case

`\begin{gathered} (7)=(-7)(-5)+b \\ 7=35+b \\ b=-28 \end{gathered}`

and the equation is

`y=-7x-28`