Slope-Intercept Form Of A Linear Equation Examples Worksheet - Johnny Wolfe, Jay High School, 2001 Page 2
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114. Example – Find the slope-intercept form and the standard form of the equation of
2
the line that has a slope of
and passes through (6, 7).
3
First, substitute the slope and coordinates of the point into the slope-intercept
form and solve for b.
Substitute 7 for y,
y = mx + b
2
for m, and 6 for x.
2
3
7 = (
)(6) + b
3
7 = 4 + b
Write the equation in
2
Substitute
for m and
3 = b
slope-intercept form.
3
2
3 for b.
y =
x + 3
3
The standard form of this
equation is 2x – 3y = -9
5. Example – find the slope-intercept form and the standard form of the equation of
the line that has slope of 2 and passes through the point (–1, 3)
First, substitute the slope and coordinates of the point into the slope-intercept
form and solve for b.
Substitute 3 for y,
y = mx + b
2 for m, and 3 for x.
3 = (2)( –1) + b
3 = –2 + b
5 = b
Write the equation in
Substitute 2 for m and
slope-intercept form.
5 for b.
y = 2x + 5
The standard form of this
equation is 2x – y = –5
Slope-Intercept Form of a Linear Equation Johnny Wolfe
Jay High School Santa Rosa County
Florida
September 30, 2001
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