if you are given two points (x1,y1) and (x2,y2), you can calculate the slope using the following formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]we need to identify two points to use the formula above
we can see that, when x = 0 , then y = 5
and when x = -7 then y = 0
so the points are (0,5) and (-7,0)
we can use those points to replace them in the formula
[tex]m=\frac{5-0}{0-(-7)}=\frac{5}{7}[/tex]Thus, the slope of the line is 5/7
