Q43. - Algebra 2

Question

Graph the line that satisfies each set of conditions.

43. Passes through $\left(-2,2\right)$ parallel to a line whose slope is $-1$. 

Step-by-Step Solution

Answer

The graph of the required line is:

Step 1- Given information

A point $(-2,2)$ and slope of a line $-1$.

Step 2- Calculation

From given information,

A point $(-2,2)$ and slope of a line $-1$.

So, the x-intercept is 1 and y- intercept is 1.

Therefore, the line is:

$x+y=1$

According to the given slope, go to 1 units below and 1 units right then.

We get a new point $\left(-1,1\right)$.

Now we draw the line which is contained both the points $(-2,2)$ and $\left(-1,1\right)$.

Step 3- Graph of the line

The graph of the required line is: