Question

What is the equation in point-slope form of the line passing through (-1, 3)

and (1, 7)? (6 points)
Oy-7= 4(x - 1)
Oy-7=2(x - 1)
Oy-3=2(x - 1)
Oy-3-4(x + 1)

Answer 1

(b) y -7 = 2(x -1)

Explanation:

You want the point-slope equation of the line through (-1, 3) and (1, 7).

Slope

The slope is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (7 -3)/(1 -(-1)) = 4/2 = 2

Equation

The point-slope equation for a line with slope m through point (h, k) is ...

y -k = m(x -h)

We have two different points, so we can write the equation two ways:

y -3 = 2(x +1)

y -7 = 2(x -1) . . . . . . . matches choice B

<95141404393>