The answers for the intercepts are as follows:

1. Substituting 0 in for y in the equation y = 3x + 7, we get:

0 = 3x + 7

3x = -7

x = -7/3 = 1 and 2/3

So, the x-intercept for this equation is (-7/3, 0)

 

2. For the x-intercept, in the equation 3x - 2y = 4, substitute 0 in for y, and solve for x to get:

3x - 2(0) = 4

3x = 4

x = 4/3 = 1 and 1/3

So, the x-intercept for this equation is (4/3, 0)

For the y-intercept, substitute 0 in for x and solve for y to get:

3(0) - 2y = 4

-2y = 4

y = 4/-2

y = -2

So, the y-intercept for this equation is (0, -2)

 

3. Again, to find the x-intercept in the equation f(x) = 2x - 8, substitute 0 in for y (or f(x) in this case) and solve for x:

0 = 2x - 8

2x = 8

x = 8/2 = 4

So, the x-intercept for this equation is (4, 0)

 

4. For the x-intercept of the equation f(x) = 2x, substitute 0 in for y and solve for x to get:

0 = 2x

0/2 = x

0 = x

So the x-intercept for this equation is (0,0)

For the y-intercept, substitute 0 in for x and solve for y to get:

f(x) = 2(0)

f(x) = 0

So the y-intercept for this equation is (0,0)

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