Complete the equation of the line through (-10, -7) and (-5, -9). Use exact numbers
step 1
Find the slope
the formula to calculate the slope is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(x1,y1)=(-10,-7)
(x2,y2)=(-5,-9)
substitute in teh formula
[tex]m=\frac{-9-(-7)}{-5-(-10)}[/tex][tex]m=\frac{-9+7}{-5+10}[/tex]
m=(-9+7)/(-5+10)
m=-2/5
step 2
Find the equation in slope intercept form
y=mx+b
we have
m=-2/5
point (-10, -7)
substitute the value of m and the coordinates of any point in the above equation
m=-2/5
x=-10
y=-7
substitute
[tex]-7=(-\frac{2}{5})\cdot(-10)+b[/tex][tex]\begin{gathered} -7=\frac{20}{5}+b \\ \\ -7=4+b \\ b=-7-4 \\ b=-11 \end{gathered}[/tex]
-therefore
the answer is
y=-(2/5)x-11
