Question

Write an equation for the line that passes through (−8.5,11) and (5,−2.5)

Answer 1

y = -x + 2.5

slope formula:

$\sf \dfrac{y_2-y_1}{x_2-x_1}$

find slope:

$\rightarrow \sf \dfrac{-2.5-11}{5-(-8.5)}$

$\rightarrow \sf \dfrac{-13.5}{13.5}$

$\rightarrow \sf -1$

equation formula:

$\sf y_1-y = m(x_1-x)$

find equation:

$\hookrightarrow \sf y-11=-1(x-(-8.5)$

$\hookrightarrow \sf y-11=-x-8.5$

$\hookrightarrow \sf y=-x-8.5+11$

$\hookrightarrow \sf y=-x+2.5$

Answer 2

• (-8.5,11)
• (5,-2.5)

Slope:-

• m=-2.5-11/5+8.5
• m=-13.5/13.5
• m=-1

Equation in point slope form

• y-11=-1(x+8.5)
• y-11=-x-8.5
• y=-x+2.5