Answer:
Step-by-step explanation:
Problem A
Basically all you have to do is put in 0 for x to give the y intercept and
0 in for y to give the x intercept. Here we go
x intercept
y =0
0 = (1/4)x -2 Add 2
2 = (1/4)x Multiply both sides by 4
2*4 = x Combine and switch
x = 8
===============
x = 0
y = (1/4)*0 - 2
y = -2
Intercept points
x_intercept: (8,0)
y_intercept: (0, - 2)
Problem 2
Essentially you make up the table by using random numbers meaning any number for x and solve for y.
x = -3
y = (-1/-3)(-3) + 1
y = -3/-3 + 1
y = 1 + 1
y = 2
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y = 6
y = (-1/3)*6 + 1
y = -6/3 + 1
y = - 2 + 1
y = - 1
----------------
two other points are
(0,1) and
(-6,3)
To create the graph go to Desmos.
The red graph is y = (1/4)x - 2 The two intercepts are marked.
The blue graph is y = (-1/3)x + 1
The 4 points from the table are on the blue line. The table is on your left.
If you see a mistake let me know. This is the noisiest place I've ever been in.
