Question

(-1,5),(-7,-9) write in equation for the line in point slope formula then rewrite the equation in slope intercept form

Answer 1

The general slope intercept equation is

`y=mx+b`

m is the slope and b is the y=intercept. slope is

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(-9-5)/(-7+1) \\ m=(-14)/(-6) \\ m=(7)/(3) \end{gathered}`

so the equation becomes,

`y=(7)/(3)x+b`

From the first set of given points, substituting for y,

`\begin{gathered} 5=-(7)/(3)+b \\ b=5+(7)/(3) \\ b=(15+7)/(3) \\ b=(22)/(3) \end{gathered}`

Thus the point slope formula is

`y=(7)/(3)x+(22)/(3)`