Question

If the slope of a line is 3 and a point on the line is (1,-2), the y-intercept of the

line is at the point with coordinates (blank)
Show your work.

Answer 1

Coordinates of the y-intercept is (0, -5)

Explanation:

• Step 1: Given the slope of the line, m = 3. Point on the line is (1, -2). Here x = 1 and y = -2. Substitute in the equation y = mx + b to find b.

⇒ -2 = 3 × 1 + b

⇒ b = -5

⇒ Coordinates = (0, -5)