Answer:
slope = [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
1) To find the slope between a pair of points, use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through. [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line also passes through. We know the line passes through (-4,5) and (0,2). So, substitute their x and y values for the formula (following the appropriate order) and solve:
[tex]\frac{(2)-(5)}{(0)-(-4)} \\= \frac{2-5}{0+4} \\= \frac{-3}{4}[/tex]
Thus, the slope is [tex]-\frac{3}{4}[/tex]
