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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 3: Q 169. (page 292)

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Short Answer

Expert verified

Slope-intercept form of the line is $y = - 2$ .

Step by step solution

01

Step 1. Given information.

The graph as shown below is given.

02

Step 2. Find the slope and y-intercept of the line.

It can be seen that the y-intercept is $(0, - 2)$ and the line passes through $(2, - 2)$ as well.

Find slope as follows.

$\begin{array}{rcl} m & = & \frac{r i s e}{r u n} \\ m & = & \frac{- 2 - (- 2)}{2 - 0} \\ m & = & 0 \end{array}$

03

Step 3. Substitute the values in Slope-intercept form.

Slope-intercept form is $y = m x + b$ .

Substitute the values.

$\begin{array}{rcl} y & = & m x + b \\ y & = & 0 x - 2 \\ y & = & - 2 \end{array}$

Therefore, the slope-intercept of the line in the graph is $y = - 2$ .

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Most popular questions from this chapter

Graph: $f (x) = x^{2}$

Graph the equation $y = \frac{1}{3} x - 1$ by plotting points.

Graph the equation by plotting points .

$y = 2 x - 3$

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.
$(- 2, 1), (- 3, - 1), (4, - 4), (- 4, 4), (- 4, \frac{3}{2})$

Graph the equations $y = - \frac{1}{3} x, y = - \frac{1}{3}$ in the same cartesian plane.

See all solutions

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