Question

Select the correct answer.

What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A. y=3x+4
B. y=3x-14
C. y=3x-4
D. y=3x + 12

Answer 1

The equation of the line with a slope of 3 and passing through the point (-3,-5) is found using the slope-intercept form and solving for the y-intercept. The resultant equation is y = 3x + 4, which corresponds to option A.

Step-by-step explanation:

The question asks about finding an equation of a line given a slope and a point that it passes through. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

To find the correct equation:

1. Use the given slope (m = 3) and substitute the coordinates of the point (-3, -5) into the slope-intercept equation.
2. Solve for b using the equation -5 = 3(-3) + b.
3. Calculate b, which would be b = -5 - (-9) = 4.

Accordingly, the equation of the line is y = 3x + 4,

so the correct answer is A. y = 3x + 4.