Chapter 4: Q. 129 (page 532)

Find an equation of a line parallel to the line $y = 3 x + 1$ that contains the point $(4, 2)$ . Write the equation in slope-intercept form.

Short Answer

Expert verified

The equation of the line in slope-intercept form is $y = 3 x - 10$

Step by step solution

Step 1. Given Information.

The equation of line, $y = 3 x + 1$ .

The point is $(6, 4)$ .

Step 2. Finding the slope.

The slope-intercept form is,

$y = m x + b$

Comparing the equation $y = 3 x + 1$ we get,

$m_{1} = 3$

The slope of the parallel lines is equal.

$m_{1} = m_{2} \Rightarrow m_{2} = 3$

Step 3. Equation of the line.

The point-slope form is,

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

Inputting the values,

$(y - 2) = 3 (x - 4) y - 2 = 3 x - 12 y = 3 x - 10$

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Find an equation of a line parallel to the line $y = 3 x + 1$ that contains the point $(4, 2)$ . Write the equation in slope-intercept form.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Finding the slope.

Step 3. Equation of the line.

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Find an equation of a line parallel to the liney=3x+1that contains the point(4,2). Write the equation in slope-intercept form.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Finding the slope.

Step 3. Equation of the line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Pure Maths

Probability and Statistics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Find an equation of a line parallel to the line $y = 3 x + 1$ that contains the point $(4, 2)$ . Write the equation in slope-intercept form.