Question

Write an equation of each line that passes through the following points in slope-intercept form:

M (5, 5) and N (–10, –19)


Help me Please!!!!!

Answer 1

`\large\boxed{y=(8)/(5)x-3}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points M(5, 5) and N(-10, -19). Substitute:

`m=(-19-5)/(-10-5)=(-24)/(-15)=(8)/(5)`

We have the equation:

`y=(8)/(5)x+b`

Put the coordinates of the point M to the equation:

`5=(8)/(5)(5)+b`

`5=8+b` subtract 8 from both sides

`-3=b\to b=-3`

Finally we have the equation:

`y=(8)/(5)x-3`