Question

How do you write the equation of the line with point (-6, 3) and has slope 2?

Answer 1

y = 2x +15

Explanation:

Since we have a point and slope, use the `color(blue)"point-slope form"` to establish the equation.

`color(red)(|bar(ul(color(white)(a/a)color(black)(y-y_1=m(x-x_1))color(white)(a/a)|)))`
where m represents the slope and `(x_1,y_1)" a point"`

here m = 2 and `(x_1,y_1)=(-6,3)`

Substitute these values into the equation.

`rArry-3=2(x-(-6))`

`rArry-3=2(x+6)rArry-3=2x+12rArry=2x+15`