Question

Given a point and a slope, write a linear equation in point-slope form.

(-6,-3) and (-4,-1)

Answer 1

y = x + 3

Explanation:

We use the formula:

y - y1 = m(x - x1)

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points: (-6,-3) and (-4,-1)

We see the y increase by 2 and the x increase by 2, so the slope is

m = 2/2 = 1

Now, we substitute the number into the equation.

y - (-3) = 1(x - (-6))

y + 3 = x + 6

y = x + 3

So, the answer is y = x + 3