Chapter 4: Q4. (page 275)

Write an equation in point slope-intercept form that passes through the given point and has the given slope.
$(3, - 5)$ , slope $\frac{2}{3}$

Short Answer

Expert verified

The required equation is represented by $y = \frac{2}{3} x - 7$ .

Step by step solution

Step 1. Determine the formula that can be used.

The standard form associated with forms which are slope and point related to the line that is straight is $y - y_{1} = m (x - x_{1})$ in which the representation of the slope is m and the representation of the point which represents the travelling of the line is $(x_{1}, y_{1})$ can be used to calculate the required equation.

Step 2. Take the help of the obtained method.

Take the help of obtained standard form represented by $y - y_{1} = m (x - x_{1})$ in which the required values can be filled by using the provided point as it is in the form of $(x_{1}, y_{1})$ and the slope.

role="math" localid="1647428773033" $y - (- 5) = \frac{2}{3} (x - 3) y = \frac{2}{3} x - 2 - 5 y = \frac{2}{3} x - 7$

Step 3. Write the conclusion.

The obtained equation is $y = \frac{2}{3} x - 7$ so it is the required equation.

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Write an equation in point slope-intercept form that passes through the given point and has the given slope.
$(3, - 5)$ , slope $\frac{2}{3}$

Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

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Write an equation in point slope-intercept form that passes through the given point and has the given slope. 3,−5, slope23

Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Write an equation in point slope-intercept form that passes through the given point and has the given slope.
$(3, - 5)$ , slope $\frac{2}{3}$