Q9. Write an equation of the line wi... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 4: Q9. (page 244)

Write an equation of the line with the given conditions.
$(鈭� 1, 6), (2, 4)$ .

Short Answer

Expert verified

The equation of the straight line for the given condition is $y = \frac{鈭� 2}{3} x + \frac{16}{3}$ .

Step by step solution

Step 1. State the concept of a straight line.

The standard form of slope and intercept form of the straight line is $y = m x + c$ .

Here, $m$ is the slope of the straight line and $c$ is the $y$ -intercept of the equation.

Step 2. State the equation of a line slope-point form.

The standard form of the two-point form of the straight line is $y 鈭� y_{1} = (\frac{y_{2} 鈭� y_{1}}{x_{2} 鈭� x_{1}}) (x 鈭� x_{1})$ .

Here, coordinates of two points from which the straight line passes.

$\begin{array}{l} (x_{1}, y_{1}) = (鈭� 1, 6) \\ (x_{2}, y_{2}) = (2, 4) \end{array}$

Step 3. Substitute the values to get the required equation.

Substitute the above values in the equation $y 鈭� y_{1} = (\frac{y_{2} 鈭� y_{1}}{x_{2} 鈭� x_{1}}) (x 鈭� x_{1})$ .

$y 鈭� y_{1} = (\frac{y_{2} 鈭� y_{1}}{x_{2} 鈭� x_{1}}) (x 鈭� x_{1}) y 鈭� 6 = (\frac{4 鈭� 6}{2 鈭� (鈭� 1)}) (x 鈭� (鈭� 1)) y 鈭� 6 = \frac{鈭� 2}{3} (x + 1) y = \frac{鈭� 2}{3} x 鈭� \frac{2}{3} + 6 y = \frac{鈭� 2}{3} x + \frac{16}{3}$

The equation of the straight line is $y = \frac{鈭� 2}{3} x + \frac{16}{3}$ .

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91影视

Write an equation of the line with the given conditions.
$(鈭� 1, 6), (2, 4)$ .

Short Answer

Step by step solution

Step 1. State the concept of a straight line.

Step 2. State the equation of a line slope-point form.

Step 3. Substitute the values to get the required equation.

One App. One Place for Learning.

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91影视

Write an equation of the line with the given conditions.鈭�1,6,2,4.

Short Answer

Step by step solution

Step 1. State the concept of a straight line.

Step 2. State the equation of a line slope-point form.

Step 3. Substitute the values to get the required equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Calculus

Geometry

Logic and Functions

Mechanics Maths

Statistics

Study anywhere. Anytime. Across all devices.

Write an equation of the line with the given conditions.
$(鈭� 1, 6), (2, 4)$ .