Chapter 3: Q 173. (page 292)

Find the equation of a line with given slope and containing the given point and write the equation in slope-intercept form.
$m = - \frac{3}{5}$ , point $(10, - 5)$ .

Short Answer

Expert verified

Slope-intercept of the line is $y = - \frac{3}{5} x + 1$ .

Step by step solution

Step 1. Given information.

Slope of the line $m = - \frac{3}{5}$ and the line passes through $(10, - 5)$ .

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

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

Here, $(x_{1}, y_{1}) = (10, - 5)$ .

Substitute the values and simplify.

$\begin{array}{rcl} y - y_{1} & = & m (x - x_{1}) \\ y - (- 5) & = & - \frac{3}{5} (x - 10) \\ y + 5 & = & - \frac{3}{5} (x - 10) \\ 5 y + 25 & = & - 3 x + 30 \\ 5 y & = & - 3 x + 5 \end{array}$

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

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

Therefore, the equation in slope-intercept form is $y = - \frac{3}{5} x + 1$ .

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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.
$m = - \frac{3}{5}$ , point $(10, - 5)$ .

Short Answer

Step by step solution

Step 1. Given 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=-35, point10,-5.

Short Answer

Step by step solution

Step 1. Given 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

Geometry

Theoretical and Mathematical Physics

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Mechanics Maths

Applied Mathematics

Probability and Statistics

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.
$m = - \frac{3}{5}$ , point $(10, - 5)$ .