Q15. Graph each equation.y=鈭�3x+5... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 4: Q15. (page 271)

Graph each equation.
$y = 鈭� 3 x + 5$

Short Answer

Expert verified

The graph of the equation $y = 鈭� 3 x + 5$ is:

Step by step solution

Step 1. Find the x and y- intercepts of the equation y=−3x+5.

To find the $x$ -intercept, substitute 0 for $y$ and find the value of $x$ .

$y = 鈭� 3 x + 5 0 = 鈭� 3 x + 5 3 x = 5 x = \frac{5}{3}$

Therefore, the $x$ -intercept is $\frac{5}{3}$ .

As, the $x$ -intercept is $\frac{5}{3}$ that means the graph of $y = 鈭� 3 x + 5$ will intersect the $x$ -axis at $(\frac{5}{3}, 0)$ .

To find the $y$ -intercept, substitute 0 for $x$ and find the value of $y$ .

$y = 鈭� 3 x + 5 = 鈭� 3 (0) + 5 = 0 + 5 = 5$

Therefore, the $y$ -intercept is 5.

As, the $y$ -intercept is 5 that means the graph of $y = 鈭� 3 x + 5$ will intersect the $y$ -axis at $(0, 5)$ .

Step 2. Draw the graph of the equation y=−3x+5.

Draw the graph of the equation $y = 鈭� 3 x + 5$ by using the information that the graph of the equation $y = 鈭� 3 x + 5$ is a line passing through the points $(\frac{5}{3}, 0)$ and $(0, 5)$ .

Therefore, the graph of the equation $y = 鈭� 3 x + 5$ is:

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91影视

Graph each equation.
$y = 鈭� 3 x + 5$

Short Answer

Step by step solution

Step 1. Find the x and y- intercepts of the equation y=−3x+5.

Step 2. Draw the graph of the equation y=−3x+5.

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