Question

Find the slope of the line through (3, 7) and (–1, 4)

Answer 1

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Slope = change in y ÷ change in x

The line passes through (3,7) and (-1,4)

Slope = $\frac{7 - 4}{3 - -1}$ = $\frac{3}{4}$

Answer 2

For this case we have that by definition, the slope of a line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

According to the data we have the following points:

$(x_ {1}, y_ {1}): (- 1,4)\\(x_ {2}, y_ {2}) :( 3,7)$

Substituting we have:

$m = \frac {7-4} {3 - (- 1)} = \frac {3} {3 + 1} = \frac {3} {4}$

Thus, the slope of the line is $\frac {3} {4}$

Answer:

$\frac {3} {4}$