A line passes through the point ( 18 , − 11 ) and has a slope of − 5 . Write an equation in slope-intercept form for this line.

The equation of the line in the slope-intercept form is y = -5x + 79

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

∵ The slope of the line is -5

∴ m = -5

∵ The form of the equation is y = m x + b

→ Substitute the values of m in the form of the equation

∴ y = -5x + b

→ To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The line passes through the point (18, -11)

∴ x = 18 and y = -11

∵ -11 = -5(18) + b

∴ -11 = -90 + b

→ Add 90 to both sides to find b

∵ -11 + 90 = -90 + 90 + b

∴ 79 = b

→ Substitute it in the equation

∴ y = -5x + 79

∴ The equation of the line in the slope-intercept form is y = -5x + 79

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