Q57. Write an equation in slope-inter... [FREE SOLUTION]

Chapter 2: Q57. (page 95)

Write an equation in slope-intercept form that satisfies each set of conditions.
Passes through $(0, - 2)$ and $(4, 2)$ .

Short Answer

Expert verified

The equation in slope-intercept form is $y = x - 2 .$

Step by step solution

Step-1 –Point slope equation of a line.

The point slope form of a straight line in geometry is used to represent the equation of a straight line using its slope 鈥�m鈥� and a point $(x, y)$ that lies on the line $y - y_{1} = m (x - x_{1})$ .

Step-2 – Determine the given value.

The line passes through $(0, - 2)$ and $(4, 2) .$

Thus, localid="1647305862762" $[(x_{1}, y_{1}) = (0, - 2) 鈥�$ ,andlocalid="1647305871201" $鈥� 鈥� 鈥� (x_{2}, y_{2}) = (4, 2)]$

Step-3 – Determine the equation

Slope of the line.

$\begin{array}{l} m = \frac{y_{2} 鈭� y_{1}}{x_{2} 鈭� x_{1}} \\ m = \frac{2 鈭� (鈭� 2)}{4 鈭� 0} \\ m = 1 \end{array}$

Equation of the line for slope $m = 1$ and points $(4, 2) .$

$\begin{array}{l} y 鈭� y_{1} = m (x 鈭� x_{1}) \\ y 鈭� 2 = 1 (x 鈭� 4) \\ y 鈭� 2 = x 鈭� 4 \\ y = x 鈭� 2 \end{array}$

Therefore, the equation in slope-intercept form is $y = x - 2 .$

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91影视

Write an equation in slope-intercept form that satisfies each set of conditions.
Passes through $(0, - 2)$ and $(4, 2)$ .

Short Answer

Step by step solution

Step-1 –Point slope equation of a line.

Step-2 – Determine the given value.

Step-3 – Determine the equation

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Column A	Column B
The slope of linem	1

91影视

Write an equation in slope-intercept form that satisfies each set of conditions.Passes through(0,-2) and(4,2).

Short Answer

Step by step solution

Step-1 –Point slope equation of a line.

Step-2 – Determine the given value.

Step-3 – Determine the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Applied Mathematics

Geometry

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form that satisfies each set of conditions.
Passes through $(0, - 2)$ and $(4, 2)$ .