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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 116 (page 526)

Find the equation of the line shown in the graph.

Short Answer

Expert verified

The equation of the line is $4 y = 5 x - 20$ .

Step by step solution

01

Step 1. Given Information.

The graph is,

The line passes through the points $(0, - 5),$ and $(3, - 1)$ .

02

Step 2. Equation of Line.

y-intercept $= (0, - 5)$

Slope $= \frac{R i s e}{R u n}$

$= \frac{5}{4}$

The slope-intercept form is,

$y = m x + b$ .

Inputting the values,

$y = \frac{5}{4} x + (- 5) y = \frac{5}{4} x - 5 4 y = 5 x - 20$

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Most popular questions from this chapter

Complete the table to find three solutions to this equation:

In the following exercises, which ordered pairs are solutions to the given equations :

$y = \frac{1}{2} x - 1$

(a) $(2, 0)$ (b) $(- 6, - 4)$ (c) $(- 4, - 1)$

In the following exercises, complete the table to find solutions to each linear equation.

In the following exercises, which ordered pairs are solutions to the given equation :

$y = 4 x + 3$

(a) $(4, 3)$ (b) $(- 1, - 1)$ (c) $(\frac{1}{2}, 5)$

In the following exercises, plot each point in a rectangular coordinate system

(a) $(- 3, 0)$ (b) $(0, 5)$ (c) $(0, - 2)$ (d) $(2, 0)$ (e) $(0, 0)$

See all solutions

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