Question

Write the equation of the line that passes through (-3,5) and (2, 10) in slope-intercept form.

Oy=x+8
Oy=x-8
Oy= -5x - 10
Oy=-5x + 20

Answer 1

`y=x+8`

Explanation:

Slope of straight line can be calculated as

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

Here
`(x_1, y_1)=(-3, 5) \ and \ (x_2, y_2) = (2, 10)`

`m =(10-5)/(2-(-3))\\m=1`

Equation of straight line in slope intercept form is

`y-y_1=m(x-x_1)\\y-5=(x+3)`

`y=x+8`