Q31. - Algebra 2

Question

Graph the line passing through the given point with the given slope.

 

$\left(-5,2\right),m=-\frac{1}{4}$

Step-by-Step Solution

Answer

The graph of the line is provided below.

Step-1 – Apply the concept of slope

The slope of the line passing through the points $\left(x_1,y_1\right)\text{ and }\left(x_2,y_2\right)$ is expressed below.

$m=\frac{y_2-y_1}{x_2-x_1}$

Step-2 –Obtain the other ordered pair

Consider the provided ordered pair through which line passes $\left(-5,2\right)$ along with the slope $m=-\frac{1}{4}$.

To obtain the other ordered pair through which the line passes interpret the slope. The slope is negative this means the line rises to the left.

Now, from the ordered pair $\left(-5,2\right)$ move 1 unit down (on y-axis) and 4 units right (on x-axis).

Therefore, the obtained ordered pair is $\left(-1,1\right)$.

Step-3 – Graph the line

Plot the obtained ordered pairs $\left(-5,2\right)$ and $\left(-1,1\right)$ on Cartesian plane to obtain the graph of the line with slope $m=-\frac{1}{4}$.