2 years ago

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

Mathematics

1 answer:

mina [271]2 years ago

8 0

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

Step-by-step 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

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