# How do you write an equation in point slope and slope intercept form given Slope = 2; point on the line is (-2, 1)?

substitute these values into the equation

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Point-slope form: y - y₁ = m(x - x₁) Slope-intercept form: y = mx + b

Using the given slope (m) and point (x₁, y₁), (-2, 1), we substitute into the formulas:

Point-slope form: y - 1 = 2(x - (-2))

Slope-intercept form: y = 2x + b

To find the y-intercept (b), substitute the coordinates of the given point (-2, 1) into the slope-intercept form and solve for b:

1 = 2(-2) + b 1 = -4 + b b = 5

So, the equations in point-slope and slope-intercept form are: Point-slope form: y - 1 = 2(x + 2) Slope-intercept form: y = 2x + 5

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