Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Slope = change in y ÷ change in x
The line passes through (3,7) and (-1,4)
Slope = [tex]\frac{7 - 4}{3 - -1}[/tex] = [tex]\frac{3}{4}[/tex]
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
According to the data we have the following points:
[tex](x_ {1}, y_ {1}): (- 1,4)\\(x_ {2}, y_ {2}) :( 3,7)[/tex]
Substituting we have:
[tex]m = \frac {7-4} {3 - (- 1)} = \frac {3} {3 + 1} = \frac {3} {4}[/tex]
Thus, the slope of the line is [tex]\frac {3} {4}[/tex]
Answer:
[tex]\frac {3} {4}[/tex]
