Question

5. Find the slope that intersects the x-axis at (1,3) and the y-axis at (4,7).

Answer 1

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

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

Where:

$(x_ {1}, y_ {1})\\(x_ {2}, y_ {2})$

They are two points through which the line passes.

According to the statement we have two points:

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

Substituting we have:

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

Thus, the slope of the line is:

$\frac {4} {3}$

Answer:

$\frac {4} {3}$