Question

What is the equation of the line that passes through the point (-2,-2)and has a slope of 2

Answer 1

y=2x+2

Explanation:

Since we have a point and a slope, we can use the point slope formula:

y-y1=m(x-x1)

where m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point

We know the slope is 2, the y coordinate is -2, and the x coordinate is also -2, so we can substitute them in

y-y1=m(x-x1)

y- -2 =2(x - -2)

y+2=2(x+2)

Now we need to solve for/ isolate y

Distribute the 2

y+2=2*x+2*2

y+2=2x+4

Subtract 2 from both sides

y=2x+2

Answer 2

y=2x+2

Explanation:

To find the y intercept of the equation you add 4 beacuse the point is 2 under the y intecrept and 2*2 is 4 so -2+4=2 so the y value of the y intercept is 2 so

y=2x+2