Answer:
slope = 1
Step-by-step explanation:
To find the slope of the line, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], in which [tex]m[/tex] represents the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.
Thus, locate two points on the line. We can see that the line intersects (-1,0) and (0,1), thus we can use them for the formula. (Any other two points that are also on the line will also work.) Substitute their x and y values into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(0)}{(0)-(-1)}\\m = \frac{1-0}{0+1} \\m = \frac{1}{1} \\m = 1[/tex]
Thus, the slope is 1.
