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Math: Graphing L2
Transcript
Homework
Handout
Qs 1,2,4, 7, & 8
Input/Output Machine
Y-Intercept on Graphs
Linear Relationships and
Their Graphs
Y-Intercept
What is the y-intercept for the following linear equations
X
Y
y = 3x + 7
y = 35x +10
y = 23x + 17
Input
Output
x
10
1
Review
13
2
2x+3
3
16
y
4
19
What was the input/output
machine used for?
Create a linear equation
for the following input and output.
Find the relation between the following input (x) and output (y).
Y= 3x + 7
Let's graph this input/output relationship on an x/y axis
y
-3
2
7
12
17
22
x
0
1
2
3
4
5
Any graph with a straight line is linear.
Graph the following relation on an x and y axis.
Linear Equation
Let's look at another line. This line has a negative slope, it falls from left to right.
What is the y intercept?
For this linear equation
y = 2x + 1
Plot a line for points:
X
1
2
3
6
The y-intercept of this line is the value of y at the point where the line crosses the y axis.
On the coordinate plane, the steepness, or slant, of a line is called the slope. Slope is the ratio of the change in the y-value over the change in the x-value.
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