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Chapter 1: Q27. (page 51)

Find the slope and $y$ intercept of the given line $\frac{1}{2} x + \frac{5}{2} y = 10$ .

Short Answer

Expert verified

The slope of the equation is $\frac{- 1}{5}$ and y intercept is $4$ .

Step by step solution

01

Step 1. Given information.

Consider the given equation.

$\frac{1}{2} x + \frac{5}{2} y = 10$ .

02

Step 2. Find the slope and y intercept form through the slope intercept equation y=mx+b.

$\frac{1}{2} x + \frac{5}{2} y = 10 x + 5 y = 20 5 y = - x + 20 y = \frac{- 1}{5} x + 4$

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Most popular questions from this chapter

The equation $2 x - y = C$ defines a family of lines, one line for each value of $C$ . On one set of coordinate axes, graph the members of the family when $C = - 4, C = 0$ and $C = 2$ . Can you draw a conclusion from the graph about each member of the family?

Can the equation of every line be written in slope–intercept form? Why?

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$\frac{x + 1}{3} + \frac{x + 2}{7} = 5$

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$\frac{1}{x + 1} - \frac{5}{x - 4} = \frac{21}{4}$

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