Chapter 4: Q68. (page 188)

Write an equation in slope-intercept form for the line that satisfies the following set of conditions.
passes through $(3, 7) (- 2, - 3)$ .

Short Answer

Expert verified

The solution is $y = 2 x + 1$ .

Step by step solution

Step 1- Consider the set of conditions.

Consider the points $(x_{1}, y_{1}) = (3, 7), (x_{2}, y_{2}) = (- 2, - 3)$ .

Step 2- Step description.

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

The slope can be calculated by the formula $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

Step 3- Step description.

Find the slope of the points as follows:

$\begin{array}{l} m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \\ m = \frac{- 3 - 7}{- 2 - 3} \\ m = \frac{- 10}{- 5} \\ m = 2 \end{array}$

Substitute the value of $m$ and the set of points $(x_{1}, y_{1}) = (3, 7)$ in the slope intercept equation as follows:

$\begin{array}{l} y = m x + b \\ 7 = 2 (3) + b \\ 7 - 6 = b \\ b = 1 \end{array}$

Step 4- Step description

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

$\begin{array}{l} y = m x + b \\ y = 2 (x) + 1 \\ y = 2 x + 1 \end{array}$ .

Thus, the slope intercept form is $y = 2 x + 1$ .

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Write an equation in slope-intercept form for the line that satisfies the following set of conditions.
passes through $(3, 7) (- 2, - 3)$ .

Short Answer

Step by step solution

Step 1- Consider the set of conditions.

Step 2- Step description.

Step 3- Step description.

Step 4- Step description

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Write an equation in slope-intercept form for the line that satisfies the following set of conditions.passes through 3,7-2,-3.

Short Answer

Step by step solution

Step 1- Consider the set of conditions.

Step 2- Step description.

Step 3- Step description.

Step 4- Step description

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Applied Mathematics

Statistics

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form for the line that satisfies the following set of conditions.
passes through $(3, 7) (- 2, - 3)$ .