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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.
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.
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