Question

Write the equation in slope-intercept form of the line that has a slope of 2 and contains

the point (4, 2).

Answer 1

Equation in slope-intercept form is y = 2x - 6

Explanation:

• Step 1: Given slope of the line, m = 2. Form an equation y = mx + b

⇒ y = 2x + b ---- (1)

• Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.

⇒ 2 = 2 × 4 + b = 8 + b

⇒ b = -6

• Step 3: Form the slope-intercept equation.

⇒ y = 2x - 6