Question

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = 2(x - 1). What is the slope-intercept form of the equation for this line?

A) y = x + 2
B) y = x - 4
C) y = 1/(x + 2)
D) y = (1/2)x - 2

Answer 1

The slope-intercept form of the equation for a line is y = mx + b. In the given question, the slope-intercept form of the equation for the line passing through the given points is y = 2x + 1.

Step-by-step explanation:

The slope-intercept form of the equation for a line is y = mx + b, where m is the slope and b is the y-intercept. In the given equation, y - 3 = 2(x - 1), we can rewrite it in the slope-intercept form by isolating y:

y - 3 = 2x - 2

y = 2x + 1

Therefore, the slope-intercept form of the equation for this line is y = 2x + 1, which corresponds to option D.