a. The formula is now in the form y=mx+c where m=2 and c=30.
b. A graph of this formula on a grid from -20 to 40.
c. These points (-20, -10), (0, 30), and (20, 70) are on the graph of the equation.
Let's start by rearranging the given formula 30=y−2x into the form y=mx+c.
a. Rearrange the formula:
30=y−2x
Add 2x to both sides:
y=2x+30
So, the formula is now in the form y=mx+c where m=2 and c=30.
b. Now, let's draw a graph of this formula on a grid from -20 to 40. The graph will be a straight line with a slope of 2 and a y-intercept of 30.
Here is a simple description of the graph:
The slope (m) is 2, which means for every 1 unit increase in
x, y will increase by 2 units.
The y-intercept (c) is 30, which is the point where the line crosses the y-axis.
Now, let's draw the graph:
c. To find specific points on the graph, you can substitute different values of x into the equation and solve for
y. For example:
When
x=−20:
y=2(−20)+30=−40+30=−10
when
y=2(0)+30=30
When
y=2(20)+30=40+30=70
These points (-20, -10), (0, 30), and (20, 70) are on the graph of the equation.