Question

Write an equation of the line passing through (- 5,5) and having slope - 4. Give the answer in slope-intercept form.

The equation of the line in slope-intercept form is:

Answer 1

• y = - 4x - 15

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Slope-intercept form:

• y = mx + b, where m is the slope, b is the y-intercept

Point-slope form:

• y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point on the line

Use the point-slope form to find the equation and then convert it to slope-intercept form:

• y - 5 = - 4(x - (-5))
• y - 5 = -4(x + 5)
• y - 5 = - 4x - 20
• y = - 4x - 20 + 5
• y = - 4x - 15