Question

The slope of the line passing through the points (0, 3) and (5, 7) is 7/2 4/5 5/4

Answer 1

Answer:

$\boxed {\boxed {\sf m=\frac{4}{5}}}$

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.

$m=\frac{y_2-y_2}{x_2-x_1}$

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:

$x_1=0\\y_1=3\\x_2=5\\y_2=7$

Substitute these values into the formula.

$m= \frac{7-3}{5-0}$

Solve the numerator.

$m=\frac{4}{5-0}$

Solve the denominator.

$m=\frac{4}{5}$

This fraction is reduced, so it is the slope.

The slope of the line passing through (0,3) and (5,7) is 4/5