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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 3: Q. 91 (page 275)

Use the slope formula to find the slope of the line between each pair of points.
$(4, - 5), (1, - 2)$ .

Short Answer

Expert verified

The slope of the line is $- 1$ .

Step by step solution

01

Step 1. Given information

Given points are $(4, - 5), (1, - 2)$ .

02

. Finding the slope.

Here,

$(x_{1}, y_{1}) = (4, - 5)$ and $(x_{2}, y_{2}) = (1, - 2)$ .

By using slope formula, we have

$\begin{array}{rcl} m & = & \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \\ = & \frac{- 2 - (- 5)}{1 - 4} \\ = & \frac{3}{- 3} \\ = & - 1 \end{array}$

Therefore slope of the line is $- 1$ .

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Most popular questions from this chapter

Is every relation a function? Is every function a

relation?

Use the slope formula to find the slope of the line between each pair of points.

$(3, - 6), (2, - 2)$ .

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Determine whether each equation is a function.

$4 x + y = - 3$
$x + y^{2} = 1$
$y - x^{2} = 2$

Use graph of $y = 3 x - 1$ . For each ordered pair, decide :

(a) Is the ordered pair $A (3, - 1) B (- 1, - 4)$ a solution to the equation.

(b) Is the point $A (3, - 1) B (- 1, - 4)$ on the line?

See all solutions

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