Question

Graph each line with the given point and slope.

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

Short answer

The graph of the line is,

Step-by-step solution

Step 1. Given information

The line passes through the point$\left(1,4\right)$with slope$m=-\frac{1}{2}$.

Step 2. Graph of the line.

To draw the line, first plot the point $(1,4)$

Since the slope is $m=-\frac{1}{2}$,therefore for each increase in value of x by 2 units, y is decreased by 1 unit. So another point on the given line is,$(3,3)$.

Now the graph of the line is,