Question

Coordinate Proofs Quick Check 5 of 55 of 5 Items Question Which equation fits a line that is parallel to the line y=2x+4 ?(1 point) Responses y=−2x+2 y equals negative 2 x plus 2 y=12x−3 y equals Start Fraction 1 over 2 End Fraction x minus 3 y=−12x+4 y equals negative Start Fraction 1 over 2 End Fraction x plus 4 y=2x−7 y equals 2 x minus 7 Skip to navigation page 18 of 18 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To find an equation of a line that is parallel to the line given by the equation $y=2x+4$, we need to identify that parallel lines have the same slope.

The slope of the line $y=2x+4$ is $2$. Therefore, any line that is parallel to this line must also have a slope of $2$.

Now, let's examine the provided response options to find which equation has a slope of $2$:

1. $y=-2x+2$ (slope = -2)
2. $y=12x-3$ (slope = 12)
3. $y=\frac{1}{2}x-3$ (slope = \frac{1}{2})
4. $y=-12x+4$ (slope = -12)
5. $y=-\frac{1}{2}x+4$ (slope = -\frac{1}{2})
6. $y=2x-7$ (slope = 2)

The only option that has a slope of $2$ is:

$y=2x-7$

Thus, this equation fits a line that is parallel to the line $y=2x+4$.