Slope-Intercept Form Of A Linear Equation Examples Worksheet - Johnny Wolfe, Jay High School, 2001 Page 3
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116. Example – Find the slope-intercept form and the standard form of the equation of
1
−
the line having slope
and passing through the point (3, 1).
2
First, substitute the slope and coordinates of the point into the slope-intercept
form and solve for b.
Substitute 1 for y,
y = mx + b
1
−
for m, and 3 for x.
1
−
2
1 = (
)( 3) + b
2
3
Write the equation in
−
1
1 =
+ b
−
Substitute
for m
2
slope-intercept form.
2
5
1
5
5
−
= b
y =
x +
and
for b.
2
2
2
2
The standard form of this
equation is x + 2y = 5
7. Example – Find the slope-intercept form of the equation of a line passing through
(–2, 5) and (3, 0)
First use the two given points to find the slope of the line
−
5
0
Remember that
Next, substitute the slope of the coordinates
m =
−
−
2
3
m represents the
of one point in the slope-intercept form and
slope of the line
solve the equation for b.
m = –1
Using the point (3, 0)
y = mx + b
would yield the same
5 = (–1)(–2) + b
result.
3 = b
The slope-intercept form of the equation of the line is y = –x + 3
8. Example – Find the slope intercept form and the standard form of the equation of
2
− .
the line with x-intercept 4 and y-intercept
3
Find the slope for
Standard form is
2
2
−
− )
Since y-intercept is
(4, 0) and (0,
x – 6y = 4
3
3
Substitute into slope-
2
−
−
0
(
)
intercept form
3
m =
y =mx + b
−
4
0
1
2
−
1
y =
x
m =
6
3
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Slope-Intercept Form of a Linear Equation Johnny Wolfe
Jay High School Santa Rosa County
Florida
September 30, 2001
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