SOLUTION: The instructions are: Use the point plotting method to graph the following equation and identify the slope. (This problem was made up by the instructor for homework.) -5x + 10

Question 202056: The instructions are: Use the point plotting method to graph the following equation and identify the slope. (This problem was made up by the instructor for homework.)
-5x + 10y = 20
Thank you for your help.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Add to both sides.

Rearrange the terms.

Divide both sides by to isolate y.

Break up the fraction.

Reduce.

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since this tells us that the y-intercept is

.Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2

So starting at

, go up 1 unit

and to the right 2 units to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points

and

RELATED QUESTIONS
Use the point plotting method to graph the equation and identify any intercepts. Verify... (answered by lwsshak3)

5x � 3y = -6 3. Describe the steps necessary to graph this equation with the x- and... (answered by stanbon)

Graph the equation by plotting point Y=1/3x+-6 (answered by checkley77)

For the following problem, the slope and one point on a line are given. Use the... (answered by rfer,mananth)

For the following problem, the slope and one point on a line are given. Use the... (answered by MathLover1)

graph by plotting the given point... (answered by solver91311)

Use the equation -6x+9y=18 to identify the slope and the y-intercept of the graph. (answered by sudhanshu_kmr)

My math worksheet is asking me to graph each equation by plotting the intercepts and one... (answered by josgarithmetic)

Identify the slope and y-intercept of the line with the given equation. Use that slope... (answered by richwmiller)