To find the slope you would use the slope formula since you have two point coordinates. The slope formula is:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where y2 and y1 are the y coordinates of the two points and x2 and x1 are the x coordinates of the two points.
Substitute in 7 and -1 for y2 and y1; substitute in 4 and 3 for x2 and x1. Now your expression should look like:
[tex]\frac{7-(-1)}{4-3}[/tex]
Subtract -1 from 7, which is basically the same as 7 + 1. Then subtract 3 from 4. Once you complete these steps you can rewrite your fraction.
[tex]\frac{7+1}{4-3} =\frac{8}{1} =8[/tex]
The final answer is 8 after substituting the appropriate coordinates into the slope formula. This means that the slope of the line passing through the points (3, -1) and (4, 7) is 8.
The answer is: the slope of the line is 8.
