Question

Find the equation of the line with slope m = 3 passing through the point (-5, 2) in slope-intercept form.

a) y = 3x + 17
b) y = 3x - 13
c) y = -3x + 17
d) y = -3x - 13

Answer 1

The correct equation of the line with slope m = 3 passing through the point (-5, 2) in slope-intercept form is y = 3x + 17, which corresponds to option a).

Step-by-step explanation:

The student is asking for the equation of a line with a given slope (m = 3) that passes through a specific point (-5, 2). The slope-intercept form of a line's equation is y = mx + b, where m is the slope and b is the y-intercept. To find b, we can plug the given point and slope into the equation:

2 = 3(-5) + b

2 = -15 + b

b = 2 + 15

b = 17

Now, we have both the slope and the y-intercept, so we can write the equation of the line as:

y = 3x + 17

Therefore, the correct choice is a) y = 3x + 17.