Answer:
d) y = -3x-3
e) y = -3x - 1
f) y = -3x + 2
Explanation:
Knowledge Needed:
Slope-Intercept Form: y = mx + b
y and x stay as variables so you can solve for the intercepts and graph.
m is the slope, or the constant amount that the y-value on a line changes when the x-value increases by 1.
b is the y-intercept, or when t he line has an x-value of 0.
When lines are parallel, they have the same slope.
Question
d)
Examine the line: At what y-value does the line have a x-value of 0?
y-value: -3
Alternatively, you could also solve be getting a set of points on the line and plugging in.
(1,0)
Our equation for line d:
y = -3x - b
0 = -3(1) - b
0 = -3 - b
0 + 3 = -3 + 3 - b
3 = -b
b = -3
d) y = -3x-3
e)
Repeat the same steps.
y-intercept: -1
Because they are parallel, they have the same slope.
e) y = -3x - 1
f)
Repeat the same steps.
y-intercept: 2
Because they are parallel, they have the same slope.
f) y = -3x + 2