For the following problem, the slope and one point on a line are given. Use the point-slope form to find the equation of that line. (Write your answer in slope-intercept form.)

Question

Quizplus · Accepted Answer

The point-slope form of an equation for a line is:
y - y1 = m(x - x1), where m is the slope, and (x1, y1) is a point on the line.
In this problem, we know the slope is 2, and we are given the point (3, 5) on the line. Substituting the values into the formula, we get:
y - 5 = 2(x - 3)
Now we can simplify:
y - 5 = 2x - 6
y = 2x - 1
This is the equation of the line in slope-intercept form. Therefore, the answer is C.

For the Following Problem, the Slope and One Point on a Line