Chapter 3: Q 171. (page 292)

Find the equation of a line with given slope and containing the given point and write the equation in slope-intercept form.
$m = \frac{5}{8}$ , point $(8, 3)$ .

Short Answer

Expert verified

Slope-intercept form of the line is $y = \frac{5}{8} x - 2$ .

Step by step solution

Step 1. Give information.

Slope of the line $m = \frac{5}{8}$ and the point it passes through is $(8, 3)$ .

Step 2. Substitute the values into the point-slope form.

Point-slope form is $y - y_{1} = m (x - x_{1})$ .

Here, $(x_{1}, y_{1}) = (8, 3)$ .

Substitute the values.

role="math" localid="1644389975789" $\begin{array}{rcl} y - y_{1} & = & m (x - x_{1}) \\ y - 3 & = & \frac{5}{8} (x - 8) \\ 8 y - 24 & = & 5 x - 40 \end{array}$

Step 3. Write the equation in slope-intercept form.

Slope-intercept form is $y = m x + b$ .

The equation in slope-intercept form is $y = \frac{5}{8} x - 2$ .

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Find the equation of a line with given slope and containing the given point and write the equation in slope-intercept form.
$m = \frac{5}{8}$ , point $(8, 3)$ .

Short Answer

Step by step solution

Step 1. Give information.

Step 2. Substitute the values into the point-slope form.

Step 3. Write the equation in slope-intercept form.

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Find the equation of a line with given slope and containing the given point and write the equation in slope-intercept form.m=58, point8,3.

Short Answer

Step by step solution

Step 1. Give information.

Step 2. Substitute the values into the point-slope form.

Step 3. Write the equation in slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the equation of a line with given slope and containing the given point and write the equation in slope-intercept form.
$m = \frac{5}{8}$ , point $(8, 3)$ .