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Chapter 1: Q 27. (page 51)

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

Short Answer

Expert verified

Slope of the line 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. Using the slope intercept form of the equation of line y=mx+b where m is slope and b is y intercept.

Write the equation in $y = m x + b$ form.

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

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Most popular questions from this chapter

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_{1} = (- 4, - 3); P_{2} = (2, 2)$

Graph the line containing the point P and having slope m.

$P (1, 3), m = - \frac{2}{5}$

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

$\frac{2}{x + 2} + \frac{3}{x - 1} = - \frac{8}{5}$

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

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

If $- 3$ and 5 are the coordinates of two points on the real number line, the distance between these points is _________.

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