Chapter 2: Q1. (page 95)

Write an equation in slope-intercept form of the line with slope $- \frac{2}{3}$ that passes through $(- 2, 5)$ .

Short Answer

Expert verified

The equation of line in slope intercept form is $2 x + 3 y = 11$

Step by step solution

Step-1 –Determining the Slope and Point

The slope of the equation, $m = - \frac{2}{3}$

The point passes through line is $(- 2, 5)$

Step-2-General equation of Slope Intercept form

$y -_{} y_{1} = m (x - x_{1})$

Where $x_{1}$ and $y_{1}$ are a point the line intersects and $m$ is the slope.

Step-3 –Determining the Equation in slope intercept form

$m = - \frac{2}{3}$ , $x_{1} = - 2$ , $y_{1} = 5$

localid="1647534724888" $\begin{matrix} y - y_{1} = m (x - x_{1}) \\ o r, y - 5 = - \frac{2}{3} (x + 2) \\ o r, y - 5 = - \frac{2}{3} x - \frac{4}{3} \\ o r, 3 y - 15 = - 2 x - 4 \\ o r, 2 x + 3 y = 11 \end{matrix}$

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Write an equation in slope-intercept form of the line with slope $- \frac{2}{3}$ that passes through $(- 2, 5)$ .

Short Answer

Step by step solution

Step-1 –Determining the Slope and Point

Step-2-General equation of Slope Intercept form

Step-3 –Determining the Equation in slope intercept form

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Write an equation in slope-intercept form of the line with slope -23 that passes through (-2,5).

Short Answer

Step by step solution

Step-1 –Determining the Slope and Point

Step-2-General equation of Slope Intercept form

Step-3 –Determining 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

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Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form of the line with slope $- \frac{2}{3}$ that passes through $(- 2, 5)$ .