Use point-slope form to write an equation of the given line. Solve each equation for .

Question

Use point-slope form to write an equation of the given line. Solve each equation for  .

Quizplus · Accepted Answer

B) y + 4 = 1/3(x - 2) 
C) y - 1 = 4(x + 2) 
D) y + 2 = -1/2(x - 1)

Answer: A and D
 
The point-slope form of a line is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

For choice A, the given point is (3, 5) and the slope is -2. Plugging these values into the point-slope form gives y - 5 = -2(x - 3).

For choice D, the given point is (1, -2) and the slope is -1/2. Plugging these values into the point-slope form gives y + 2 = -1/2(x - 1).

Choices B and C have correct equations in point-slope form, but they are not solvable for y. Therefore, they are not the best choices.

Use Point-Slope Form to Write an Equation of the Given