Question

Write an equation (in slope-intercept form) of the line that passes through (0, 3) and (−5, 2.5).

PLEASE HELP MEEEEEEEEEE

Answer 1

The equation of the line passing throught the points
`A(x_A,y_A)` and
`B(x_B,y_B)` has a form

`(x-x_A)/(x_B-x_A)=(y-y_A)/(y_B-y_A).`

Now the equation of the line passing through points (0, 3) and (−5, 2.5) is

`(x-0)/(-5-0)=(y-3)/(2.5-3).`

Simplify it:

`(x)/(-5)=(y-3)/(-0.5),\\ \\0.5x=5(y-3),\\ \\5x=50y-150,\\ \\x=10y-30,\\ \\10y=x+30,\\ \\y=0.1x+3.`

This equation is in slope-intercept form.

Answer: y=0.1x+3.