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Q6.

Expert-verified

Algebra 1

Found in: Page 244

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Write an equation of the line with the given conditions.
$(2, 5)$ ; slope 3.

The equation of the straight line for the given condition is $y = 3 x - 1$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. State the concept of a straight line.

The standard form of slope and intercept form of the straight line is $y = m x + c$ .

Here, $m$ is the slope of the straight line and $c$ is the $y$ -intercept of the equation.

Step 2. State the equation of a line slope-point form.

The standard form of slope and point form of the straight line is $y - y_{1} = m (x - x_{1})$ .

Here $m$ is the slope of the straight line and is the point from which the straight line passes.

$\begin{array}{l} (x_{1}, y_{1}) = (2, 5) \\ m = 3 \end{array}$

Step 3. Substitute the values to get the required equation.

Substitute the above values in the equation $y - y_{1} = m (x - x_{1})$

$y - y_{1} = m (x - x_{1}) y - 5 = 3 (x - 2) y - 5 = 3 x - 6 y - 5 + 5 = 3 x - 6 + 5 y = 3 x - 1$

The equation of the straight line is $y = 3 x - 1$ .

Most popular questions for Math Textbooks

The table shows the number of sales made at an outerwear store during a sale. Write an equation of the regression line. Then estimate the daily sales on day 10 of the sale

Days Since Sale Began	1	2	3	4	5	6	7
Daily Sales ( $$$ )	15	21	32	30	40	38	51

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the equation.

$(3, - 4); y = - \frac{1}{3} x - 5$

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

The correlation coefficient describes whether the correlation between the variables is positive or negative and how closely the regression equation is modeling the data.

Graph each equation.

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

Write the given equation of line in slope-intercept form.

$y - 2 = 3 (x - 5)$

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