Question

Please help with image shown below

Answer 1

y = - 8x + 10

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate the slope m, usi g the slope formula

m =
`\frac{y_{2-y_(1) } }{x_(2)-x_(1) }`

let (x₁, y₁ ) = (- 5, 50) and (x₂, y₂ ) = (10, - 70) ← 2 points on the line

substitute these values into the formula for m

m =
`(-70-50)/(10-(-5))` =
`(-120)/(10+5)` =
`(-120)/(15)` = - 8

the line crosses the y- axis at (0, 10 ) , then c = 10

y = - 8x + 10 ← equation of line