Chapter 4: Q38. (page 272)

Write the given equation of line in slope-intercept form.
$y - 4 = \frac{1}{2} (x + 2)$

Short Answer

Expert verified

The equation of the line in slope-intercept form is $y = \frac{1}{2} x + 5$

Step by step solution

Step 1. Slope-intercept form of an equation of a line:

The slope-intercept form of an equation of a line is given by,

$y = m x + b$

Where, slope $= m$ , and, $y -$ axis intercept $= b$

Step 2. Change the equation in slope-intercept form.

The equation is given by,

$\begin{matrix} y - 4 = \frac{1}{2} (x + 2) \\ 2 (y - 4) = 1 (x + 2) \\ 2 y - 8 = x + 2 \\ 2 y = x + 2 + 8 \\ 2 y = x + 10 \\ y = \frac{x + 10}{2} \\ y = \frac{x}{2} + \frac{10}{2} \\ y = \frac{1}{2} x + 5 \end{matrix}$

This equation is in slope-intercept form $y = m x + b$ , where $m = \frac{1}{2}$ and $b = 5$ .

Therefore, the equation of the line in slope-intercept form is $y = \frac{1}{2} x + 5$ .

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Write the given equation of line in slope-intercept form.
$y - 4 = \frac{1}{2} (x + 2)$

Short Answer

Step by step solution

Step 1. Slope-intercept form of an equation of a line:

Step 2. Change the equation in slope-intercept form.

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Write the given equation of line in slope-intercept form.y−4=12(x+2)

Short Answer

Step by step solution

Step 1. Slope-intercept form of an equation of a line:

Step 2. Change the equation in slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write the given equation of line in slope-intercept form.
$y - 4 = \frac{1}{2} (x + 2)$