Answer:
y=8x-25
Explanation:
First, you want to find the slope.
Formula: y2-y1 / x2-x1
So, in this case it would be: 7-(-1) / 4-3
Which is the same thing as 7+1 / 4-3 = 8/1 or just 8
Now, when finding the equation of the line, always use the slope-intercept equation: mx + b = y.
If we plug in the slope, we get 8x + b = y. However, we want to find b, since we could use either (3, -1) or (4, 7) for the x and y.
I'm going to use (4, 7), but it doesn't matter what you choose because you'll get the same answer.
8(4) + b = 7.
When you simplify you should get b = -25.
So now, you just have to plug everything in and you get your answer y = 8x - 25.