What is the slope-intercept form equation of the line that passes through (5, 7) and (8, 22)?

Solution:

The slope-intercept form of the equation is given by:

y = mx + c

Where m = slope of the line and c is the x-intercept.

The slope of the line:

m = (y₂ - y₁)/(x₂ - x₁)

x₁ = 5 , y₁ = 7; x₂ = 8, y₂ = 22

Therefore,

m = (22 - 7)/(8 - 5) = 15/3 = 5

With value of the slope known the equation of the line can be formed as shown below:

(y - y₁) = m(x - x₁)

(y - 7) = 5(x - 5)

y - 7 = 5x - 25

y = 5x - 18

y = 5x - 18 is the required slope-intercept form of the line.

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What is the slope-intercept form equation of the line that passes through (5, 7) and (8, 22)?

Summary:

The slope-intercept form equation of the line passing through points (5, 7) and (8, 22) is y = 5x - 18.