Question

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

Answer 1

• (-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

Answer 2

y = -x + 2.5

slope formula:

`\sf (y_2-y_1)/(x_2-x_1)`

find slope:

`\rightarrow \sf (-2.5-11)/(5-(-8.5))`

`\rightarrow \sf (-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`