Question

Which equation fits a line that is parallel to the line y = 2x + 4?

a. y = 2x - 7
b. y = -2x + 2
c. y = -1/2x + 4
d. y = 1/2x - 3

Answer 1

To find a line that is parallel to the line given by the equation \( y = 2x + 4 \), we need to identify another line that has the same slope. The slope of the given line is \( 2 \).

Now, let's examine each option to find out which one has the same slope:

a. \( y = 2x - 7 \) → Slope is \( 2 \) (This is parallel)

b. \( y = -2x + 2 \) → Slope is \( -2 \)

c. \( y = -\frac{1}{2}x + 4 \) → Slope is \( -\frac{1}{2} \)

d. \( y = \frac{1}{2}x - 3 \) → Slope is \( \frac{1}{2} \)

The only equation that has the same slope of \( 2 \) is:

**a. \( y = 2x - 7 \)**

So, the correct answer is **a. y = 2x - 7**.