Question

What is the slope of the line graphed on the coordinate plane?


plzzz help!!!!

Answer 1

(-2,3) and (2,6)
slope = (6 - 3)/(2+2) = 3/4

answer
slope = 3/4

Answer 2

ANSWER

The slope of the line that has been graphed in the coordinate plane above is
$\frac{3}{4} .$

EXPLANATION

We can read from the graph that, the straight line passes through the points

$(2,6) \: and \: (-2,3).$

We can determine the slope of the given line using the formula

$m=\frac{y_2-y_1}{x_2-x_1}$
We can choose the points in any order.

We can choose $(x_1,y_1) = (2,6)$ and
$(x_2,y_2) = (-2,3)$

or
$(x_1,y_1) = (-2,3)$ and
$(x_2,y_2) = (2,6)$

We substitute the above points in to the formula to obtain,

$m = \frac{3 - 6}{ - 2 - 2} = \frac{ - 3}{ - 4} = \frac{3}{4}$

The slope of the line is therefore,

$\frac{3}{4}$