the Answer:
y=1/3x+5
Explanation:
By looking at the 2 points, we can see that (x1, y1) is (0, 5) which is the y-intercept, hence the +5 in the answer. The y-intercept is the y-value whenever x is 0. Next, we know that (x2, y2) is (6, 7) Remember that the (x2, y2) is always the right-most coordinate of the 2 points chosen. We now can apply the formula for finding a slope which is y2-y1/x2-x1. By substituting, we get 7-5/6-0 Which gives us 2/6 but notice the question wants coefficients in simplest form. 2 and 6 can be halved, which gives us 1/3, hence the 1/3x in the equation. The Slope-Intercept form will always be y=mx+b where m is the slope and b is the y-intercept. If m is 0 then the line will be horizontal. Hope this helps!