Unit 5, Lesson 9. The standard form of a linear equation is:
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Transcript of Unit 5, Lesson 9. The standard form of a linear equation is:
Standard Form of aLinear Function
Unit 5, Lesson 9
The standard form of a linear equation is:
Definition
CByAx
Definition: X-intercept: the x-coordinate of the point
where a line crosses the x-axis.
To find the x-intercept of a line, substitute 0 for y and solve.
To find the y-intercept of a line, substitute 0 for x and solve.
Find the x- and y-intercepts of 2x + 5y = 6.
Step 1: To find the x-intercept, substitute 0 for y and solve for x.
2x + 5(0) = 6
2x = 6
x = 3
The x-intercept is 3.
Standard Form
Find the x- and y-intercepts of 2x + 5y = 6.
Step 2: To find the y-intercept, substitute 0 for x and solve for y. 2(0) + 5y = 6
5y = 6
y =
The y-intercept is .
6565
Standard Form
Find the x- and y-intercepts of 4x – 9y = –12.
3
4
129
1290
12904
y
y
y
y
3
124
1204
12094
x
x
x
x
3x + 5y = 15
3x + 5(0) = 15
3x = 15
x = 5
3x + 5y = 15
3(0) + 5y = 15
5y = 15
y = 3
Graph the equation 3x + 5y = 15.
GRAPHING in Standard Form
Plot (5, 0) and (0, 3).
Draw a line through the points.
Graph 2x – y = 6 using x- and y-intercepts.
You try:
6
6
60
602
y
y
y
y
3
62
602
x
x
x
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