Chapter 2: Q. 26 (page 79)

Write an equation in slope-intercept form for the line that satisfies each set of conditions.
slope $\frac{3}{2}$ , passes through $(- 5, 1)$

Short Answer

Expert verified

The equation of the required straight line in slope-intercept form is $y = \frac{3}{2} x + \frac{17}{2}$ .

Step by step solution

Step 1. State the concept

The slope intercept form of a straight-line equation is $y = m x + c$ where mis the slope and c is the y-intercept.

The equation of a straight-line having slope m and passing through the point $(h, k)$ is given as $y - k = m (x - h)$ .

Step 2. List the given data

It is given that the slope of the line is $\frac{3}{2}$ and the line passes through $(- 5, 1)$ .

Then, $m = \frac{3}{2}$ and $(h, k) = (- 5, 1)$ .

Step 3. Write the equation

Put $m = \frac{3}{2}$ and $(h, k) = (- 5, 1)$ in $y - k = m (x - h)$ to get,

$y - 1 = \frac{3}{2} (x - (- 5))$

$y - 1 = \frac{3}{2} (x + 5)$ (Simplify)

$y - 1 = \frac{3}{2} x + \frac{15}{2}$ (Distributive property)

$y - 1 + 1 = \frac{3}{2} x + \frac{15}{2} + 1$ (Add 1 to both sides)

$y = \frac{3}{2} x + \frac{17}{2}$ (Simplify)

So, the required equation of the straight line in slope-intercept form is $y = \frac{3}{2} x + \frac{17}{2}$ .

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Column A	Column B
the average (arithmetic mean) of three integers x, y, z and 29	30

Write an equation in slope-intercept form for the line that satisfies each set of conditions.
slope $\frac{3}{2}$ , passes through $(- 5, 1)$

Short Answer

Step by step solution

Step 1. State the concept

Step 2. List the given data

Step 3. Write the equation

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Write an equation in slope-intercept form for the line that satisfies each set of conditions.slope 32, passes through -5,1

Short Answer

Step by step solution

Step 1. State the concept

Step 2. List the given data

Step 3. Write the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Discrete Mathematics

Geometry

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form for the line that satisfies each set of conditions.
slope $\frac{3}{2}$ , passes through $(- 5, 1)$