Question

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

Answer 1

`\boxed {\boxed {\sf m=(4)/(5)}}`

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=(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= (7-3)/(5-0)`

Solve the numerator.

`m=(4)/(5-0)`

Solve the denominator.

`m=(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