Question

Line v has an equation of y−6=−3(x−2). Line w, which is parallel to line v, includes the point (10, 3). What is the equation of line w? Write the equation in slope-intercept form.

A) y=−3x+33
B) y=−3x+30
C) y=−3x+27
D) y=−3x+24

Answer 1

The equation of line w, which is parallel to line v and passes through the point (10, 3), is A)y = -3x + 33.

Step-by-step explanation:

To find the equation of line w, which is parallel to line v, we need to determine its slope and y-intercept. Since line v has a slope of -3, line w will also have a slope of -3. We are given the point (10, 3) that lies on line w, which allows us to find the y-intercept using the slope-intercept form of a linear equation, y = mx + b. Substituting the values in, we have 3 = -3(10) + b. Solving for b, we get b = 33. Therefore, the equation of line w in slope-intercept form is y = -3x + 33 (Option A).