<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>
Answer:
![y = \frac{1}{2} x - \frac{5}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%20%5Cfrac%7B5%7D%7B2%7D)
Step-by-step explanation:
1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.
2) We know that the slope has to be parallel to the given line,
. Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be
.
3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:
![(y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}](https://tex.z-dn.net/?f=%28y-%20%28-4%29%29%20%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%20%28-3%29%29%5C%5Cy%20%2B%204%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20%2B%203%29%29%5C%5Cy%20%2B%204%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%2B%20%5Cfrac%7B3%7D%7B2%7D%20%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%20%5Cfrac%7B3%7D%7B2%7D%20-%204%5C%5Cy%20%3D%20%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%20%5Cfrac%7B3%7D%7B2%7D%20-%20%5Cfrac%7B8%7D%7B2%7D%20%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20-%20%5Cfrac%7B5%7D%7B2%7D)
Therefore,
is our answer. If you have any questions, please do not hesitate to ask!