Wennersten’s Algebra I Pre-AP
Name:_____________________Pd:____
A.6.C investigate, describe, and predict the effects of changes in m and b on the graph of y = mx + b; Readiness
Standard
A.6.F interpret and predict the effects of changing slope and yy-intercept
intercept in applied situations; Readiness Standard
intercept for the equation 2 1?
1) What are the slope and the y-intercept
2) Graph the equation.
3) Change the slope to 1/2 and graph in a new color and label
Circle the correct answer:
The graph became more/less steep.
The y-intercept
intercept did/did not change.
The x-intercept
intercept did/did not change.
The graph did/did not change directions from up to down.
4) Change the slope to 3 and graph in a new color and label
The graph became more/less steep.
The y-intercept
intercept did/did not change.
The x-intercept
intercept did/did not change.
The graph did/did not change directions from up to down.
5) Chan nge the slope to -1 and graph in a new color and label
The graph became more/less
ore/less steep.
The y-intercept
intercept did/did not change.
The x-intercept
intercept did/did not change.
The graph did/did not change directions from up to down.
6) If the slope increases what happens to the graph? What happens to the graph if the slope decreases?
(explain
explain what changes, how it changes, and what stays the same)
intercept for the equation 2?
7) What are the slope and the y-intercept
8) Graph the equation.
9) Change the y-intercept to -3
3 and graph in a new color and label
Circle the correct answer:
The graph became more/less steep.
The y-intercept
intercept did/did not change.
The x-intercept
intercept did/did not change.
The graph did/did not change directions from up to down.
10) Change the y-intercept to 4 and graph in a new color and label
The graph became more/less steep.
eep.
The y-intercept
intercept did/did not change.
The x-intercept
intercept did/did not change.
The graph did/did not change directions from up to down.
11) Change the y-intercept to 0 and graph in a new color and label
The graph became more/less steep.
The y-intercept did/did not change.
The x-intercept
intercept did/did not change.
The graph did/did not change directions from up to down.
12) What happens to the graph if the y-intercept
intercept changes?
(explain what changes, how it changes, and what stays the same)
13) Predict what will happen to the graph of y = 3x – 5 if the slope is changed to -2:
14) Predict what will happen to the graph of y = -2x + 7 if the equation is changed to y = 2x + 7:
15) Predict what will happen to the graph of y = 5x + 4 if the y-intercept is increased:
16) If y = x is changed to y = -4 + x, what happens to the graph of the function?
After being diagnosed with hypertension (high-blood pressure), a person had to lose weight in a diet. The person’s
weight in pounds (w) and the number of weeks dieting (t) can be expressed by the function w(t) = 500 – 2t.
[ w(t) is a way to represent a function. It says that the person’s weight is a function of the number of weeks the
person is on the diet or (t).]
17) What does the 500 represent in the situation?
18) What does the -2 represent in the situation?
19) How many pounds per week does the person lose?
20) Suppose the Dr. says the person needs to get to 200 pounds to be healthy. How long will this take?
21) What is a reasonable domain and range for the function with the 200 pound as the ending weight? (Remember
discrete or continuous)
22) Suppose the person started at 400 pounds. What is the new equation and how does this affect the length of the
diet?
23) Suppose the person doubles the weight loss per week. What is the new equation and how does this affect the
length of the diet?
24- Skills practice
Graph the following equations using slope-intercept form. If possible, write the slope and the y-intercept of each.
5x – 7y = 14
2 + y = -9
x=–1
y=x
The slope is ____
y-intercept is ____
The slope is ____
y-intercept is ____
The slope is ____
y-intercept is ____
The slope is ____
y-intercept is ____