Chapter 4: Q. 4.79 (page 499)

Use the graph to find the slope and y-intercept of the line $y = \frac{2}{3} x - 1$ . Compare these values to the equation $y = m x + b$ .

Short Answer

Expert verified

The slope is the same as the coefficient of x and the y-coordinate of the y-intercept is the same as the constant term.

Step by step solution

Step 1. Given information.

given equation,

$y = \frac{2}{3} x - 1, y = m x + b$

Step 2. To find the slope of the line, we need to choose two points on the line. We’ll use the points (0,-1) and (3,1)

Find the rise and run,

$m = \frac{r i s e}{r u n} m = \frac{2}{3}$

Step 3. Find the y-intercept of the line,

The y-intercept is the point $(0, - 1)$

Now, we found the slope $m = \frac{2}{3}$ and y-intercept $(0, - 1)$

localid="1653588516018" $y = \frac{2}{3} x - 1 y = m x + b$

The slope is the same as the coefficient of x and the y-coordinate of the y-intercept is the same as the constant term.

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Use the graph to find the slope and y-intercept of the line $y = \frac{2}{3} x - 1$ . Compare these values to the equation $y = m x + b$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the slope of the line, we need to choose two points on the line. We’ll use the points (0,-1) and (3,1)

Step 3. Find the y-intercept of the line,

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Use the graph to find the slope and y-intercept of the line y=23x−1. Compare these values to the equationy=mx+b.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the slope of the line, we need to choose two points on the line. We’ll use the points (0,-1) and (3,1)

Step 3. Find the y-intercept of the line,

One App. One Place for Learning.

Most popular questions from this chapter

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Use the graph to find the slope and y-intercept of the line $y = \frac{2}{3} x - 1$ . Compare these values to the equation $y = m x + b$ .