Slope-Intercept Form Of A Linear Equation Examples Worksheet - Johnny Wolfe, Jay High School, 2001 Page 4
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2
3
4
5
6
7
8
9
10
119. Example – Find the slope-intercept form and the standard form of the equation of
the line passing through the points (2, –1) and (–1, –2).
Find the slope.
Find y-intercept
Slope-intercept form
−
−
−
1
(
) 2
y = mx + b
1
5
−
m =
y =
x
−
−
1
2
(
) 1
3
3
–1 =
(2) + b
3
1
m =
5
−
3
= b
substitute (2, –1)
Standard form
3
for x and y
x – 3y = 5
10. Example – Find the slope and y-intercept of a line with equation in standard
form.
Recall that the standard form of the equation of a line is Ax + By = C. If B ≠ 0,
the slope and y-intercept can be found by changing the equation to slope-
intercept form.
Ax + By = C
A
C
−
, for B ≠ 0
The slope is
and the y-intercept is
By = –Ax + C
B
B
A
C
−
y =
x +
B
B
11. Example – Using the calculations from # 10 above, find the slope and y-intercept
in the equation y = –2x + 4.
The standard form of this equation is
2x + y = 4
C
A
−
y-intercept =
slope =
B
B
4
2
− = –2
y-intercept =
= 4
slope =
1
1
If B = 0 in the standard form of
the equation, the slope is
undefined, the line has no y-
intercept, and C ≠ 0.
Slope-Intercept Form of a Linear Equation Johnny Wolfe
Jay High School Santa Rosa County
Florida
September 30, 2001
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