Question

Graph a line trough the given point with the given slope. Point:(-3, 6)slope4/-5

Answer 1

Explanation:

We can find the equation of a line using the following:

$y-y_1=m(x-x_1)$

Where m is the slope and (x1, y1) are the coordinates of a point.

Now, we can replace (x1, y1) by (-3, 6) and m by 4/(-5) to get:

$\begin{gathered} y-6=\frac{4}{-5}(x-(-3)) \\ y-6=\frac{4}{-5}(x+3) \\ y-6+6=\frac{4}{-5}(x+3)+6 \\ y=\frac{4}{-5}(x+3)+6 \end{gathered}$

Now, we can replace the value of x, to find another point in the graph.

So if x = 2 then:

$\begin{gathered} y=\frac{4}{-5}(2+3)+6 \\ y=\frac{4}{-5}(5)+6 \\ y=-4+6 \\ y=2 \end{gathered}$

Answer:

Therefore, the lines pass through the points (-3, 6) and (2, 2) and the graph of the line is: