Answer:
[tex]\boxed {\boxed {\sf m=\frac{4}{5}}}[/tex]
Step-by-step explanation:
Slope helps us describe how steep a line is and its direction. The formula for slope is the change in y over the change in x.
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are points the line passes through.
We know the line passes through the points (0,3) and (5,7). Therefore, if we match these points to their corresponding variable:
[tex]x_1=0\\y_1=3\\x_2=5\\y_2=7[/tex]
Substitute these values into the formula.
[tex]m= \frac{7-3}{5-0}[/tex]
Solve the numerator.
[tex]m=\frac{4}{5-0}[/tex]
Solve the denominator.
[tex]m=\frac{4}{5}[/tex]
This fraction is reduced, so it is the slope.
The slope of the line passing through (0,3) and (5,7) is 4/5
