Question

Which equation represents the line passing through the point (-3, -1) with a slope of 4?

a) y = 4x - 11
b) y = 4x + 11
c) y = 4x + 7
d) y = 4x - 7

Answer 1

The correct equation of the line that passes through the point (-3, -1) with a slope of 4 is y = 4x + 11 (option b).

Step-by-step explanation:

The question involves finding the equation of a line that passes through a specific point and has a given slope. We are given the point (-3, -1) and the slope of 4. The formula for the equation of a line in slope-intercept form is y = mx + b, where m is the slope and b are the y-intercept. To find b, we plug in the slope (4) and the coordinates of the point (-3, -1) into the equation:

y = 4x + b
-1 = 4(-3) + b
-1 = -12 + b
b = 11

Therefore, the correct equation of the line is y = 4x + 11, corresponding to option (b).