Question

question use the line tool to graph the line passing through (2, 2) whose slope is $m = -\frac{5}{4}$. provide your answer below:

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here $x_1 = 2,y_1=2$ and $m=-\frac{5}{4}$.

Step2: Find another point

Starting from the point $(2,2)$, use the slope $m =-\frac{5}{4}$. The slope $m=\frac{\Delta y}{\Delta x}=-\frac{5}{4}$. So if we move $\Delta x = 4$ units to the right (increase $x$ by 4), then $\Delta y=- 5$ (decrease $y$ by 5). The new point is $(2 + 4,2-5)=(6,-3)$.

Step3: Graph the line

Plot the points $(2,2)$ and $(6,-3)$ on the coordinate - plane and draw a straight line passing through them.

Answer:

Graph a line passing through the points $(2,2)$ and $(6,-3)$ on the given coordinate grid.