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Chapter 1: Problem 5

Find the slope of the line that passes through the given pair of points. $$ (4,3) \text { and }(5,8) $$

Short Answer

Expert verified
The slope of the line that passes through the given pair of points (4,3) and (5,8) is \(m = 5\).

Step by step solution

01

Identify the coordinates of the given points

We have two points: (4,3) and (5,8). Let's assign the coordinates of the first point to x1 and y1, and the coordinates of the second point to x2 and y2. x1 = 4, y1 = 3 x2 = 5, y2 = 8
02

Use the slope formula

Now, we will substitute the coordinates of the given points into the slope formula: m = (y2 - y1) / (x2 - x1)
03

Substitute the coordinates

Plugging in the coordinates of the points, we get: m = (8 - 3) / (5 - 4)
04

Perform calculations

Now let's perform the calculations to find the slope: m = (5) / (1)
05

Simplify

Simplifying the result, we get the slope: m = 5 Therefore, the slope of the line that passes through the given pair of points (4,3) and (5,8) is 5.

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Most popular questions from this chapter

Find an equation of the line that has slope \(m\) and \(y\) -intercept \(b\). $$ m=0 ; b=5 $$

Write the equation in the slopeintercept form and then find the slope and \(y\) -intercept of the corresponding line. $$ 5 x+8 y-24=0 $$

Find an equation of the line that satisfies the given condition. $$ \text { The line parallel to the } x \text { -axis and } 6 \text { units below it } $$

Find an equation of the line that passes through the point \((1,-2)\) and is perpendicular to the line passing through the points \((-2,-1)\) and \((4,3)\).

Use the results of Exercise 63 to find an equation of a line with the \(x\) - and \(y\) -intercepts. $$ x \text { -intercept }-2 ; y \text { -intercept }-4 $$
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