Chapter 4: Q67. (page 188)

Write an equation in slope-intercept form for the line that satisfies the following set of conditions.
Slope $- \frac{4}{3}$ passes through $(6, - 8)$ .

Short Answer

Expert verified

The solution is $3 y = - 4 x$ .

Step by step solution

Step 1- Consider the set of conditions.

Consider the slope $m = - \frac{4}{3}$ passes through the points $(x, y) = (6, - 8)$ .

Step 2- Step description.

The slope intercept form is given by the formula $y = m x + b$ , where $m$ is the slope.

Step 3- Step description.

Substitute the value of $m$ and the set of points in the slope intercept equation as follows:

$\begin{array}{l} y = m x + b \\ - 8 = - \frac{4}{3} (6) + b \\ - 8 = - 8 + b \\ b = - 8 + 8 \\ b = 0 \end{array}$

Now substitute the value of slope and $b$ in the slope intercept form as follows:

$\begin{array}{l} y = m x + b \\ y = - \frac{4}{3} (x) + 0 \\ 3 y = - 4 x \end{array}$ .

Thus, the slope intercept form is $3 y = - 4 x$ .

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Write an equation in slope-intercept form for the line that satisfies the following set of conditions.
Slope $- \frac{4}{3}$ passes through $(6, - 8)$ .

Short Answer

Step by step solution

Step 1- Consider the set of conditions.

Step 2- Step description.

Step 3- Step description.

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Write an equation in slope-intercept form for the line that satisfies the following set of conditions.Slope -43 passes through 6,-8.

Short Answer

Step by step solution

Step 1- Consider the set of conditions.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Logic and Functions

Pure Maths

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form for the line that satisfies the following set of conditions.
Slope $- \frac{4}{3}$ passes through $(6, - 8)$ .