Write the equation in slope-intercept form for the line that passes through the given point and is parallel to the given equation, x - 2y = 9 and passes through (4, 5)
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The equation in slope-intercept form
y = mx + b
The slope is m
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Two parallel lines have the same slope
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To find the slope
x - 2y = 9
x - 9 = 2y
2y = x - 9
y= 1/2 x - 9/2
y = mx + b
The slope is 1/2
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Passes through (4, 5) = (x1, y1)
(y-y1) = m (x-x1)
(y- 5 ) = 1/2 (x- 4 )
y = 1/2 x - 4/2 +5
y= 1/2 x -2 +5
y= 1/2 x + 3
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The equation in slope-intercept form is y= 1/2 x +3