Answer:
slope = -0.75
Step-by-step explanation:
In order to calculate the slope of a line given the coordinates of two points, we can use the following formula:
[tex]\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex],
where:
m ⇒ slope
[tex](x_1, y_1)[/tex] , [tex](x_2, y_2)[/tex] ⇒ known coordinates.
Substituting values into the formula:
[tex]{m = \frac{0 - 3}{0 - (-4)}}[/tex]
⇒ [tex]-\frac{3}{4}[/tex]
⇒ [tex]\bf -0.75[/tex]
∴ The slope of the line is -0.75.
