1 answer:
Answer:
<u>Given</u>
- Equation 3x - 4y = 8
and
- Inequality 3x - 4y ≥ 8
<em>See the graphs attached</em>
To draw the graphs follow the rules we described in the previous questions.
- 1. Identify x-intercept and y-intercept and connect them to have the line.
- 2. Shade the region above or below the line if this is an inequality.
We see the only difference the expressions have is the equation or inequality symbols.
- Equation symbol means the graph of the equation is a line.
- Inequality symbol means the graph of this is a region below the same line, in our case the line is also part of the covered region because it is "≤".
We can state that the inequality includes the line and the region below the same line.
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We are asked to find the slope of this graph; we are provided with two points:
- What we need in order to find the slope are two points and the slope formula.
Here's the formula:
Where
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Substitute the values:
Simplify!
Simplify more!
Hope it helps you out! :D
Ask in comments if any queries arise.
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