QuestionCalculate the slope of the line through the points $(-3,5)$ and $(4,9)$ .

Studdy Solution

STEP 1

Assumptions1. The two points given are $(-3,5)$ and $(4,9)$ . We are asked to find the slope of the line formed by these points

STEP 2

The slope of a line is given by the formula $lope = \frac{y2 - y1}{x2 - x1}$ where $(x1, y1)$ and $(x2, y2)$ are the coordinates of the two points.

STEP 3

Now, plug in the given values for $x1$ , $y1$ , $x2$ , and $y2$ into the formula.
$lope = \frac{9 -5}{ - (-3)}$

STEP 4

implify the expression in the numerator and the denominator.
$lope = \frac{4}{7}$ So, the slope of the line formed by the points $(-3,)$ and $(4,9)$ is $\frac{4}{7}$ .

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