Answer: slope is [tex]\frac{7}{2}[/tex] or 3.5
Step-by-step explanation:
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{4-(-3)}{7-5}[/tex] = [tex]\frac{7}{2}[/tex]
Answer:
[tex]\boxed {\boxed {\sf m= \frac{7}{2} \ or \ 3.5 }}[/tex]
Step-by-step explanation:
The slope formula is the change in y over the change in x.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points given. We are given the points (5, -3) and (7,4). Therefore,
[tex]x_1=5 \\y_1= -3\\x_2=7 \\y_2=4[/tex]
Substitute the values into the formula.
[tex]m=\frac{4--3}{7-5}[/tex]
Solve the numerator.
[tex]m=\frac{7}{7-5}[/tex]
Solve the denominator
[tex]m=\frac{7}{2}[/tex]
[tex]m=3.5[/tex]
The slope between the points is 7/2 or 3.5
