Chapter 3: Q.467 (page 358)

Find an Equation of the Line Given Two Points $(7, 1)$ and $(5, 0)$ . Write the equation in slope–intercept form.

Short Answer

Expert verified

Equation of the line is: $y = \frac{1}{2} x - \frac{5}{2}$

Step by step solution

Given information

Here given two points are $(7, 1)$ and $(5, 0)$ .

Concept used

Here we have to use slope formula and slope - point formula to find an equation of a line.

slope = $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Slope - point formula: $y - y_{1} = m (x - x_{1})$

Here we can use any one point from the given two points.

Explanation

Given two points are: $(7, 1)$ and $(5, 0)$ .

Using slope formula,

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

role="math" localid="1644302591019" $\Rightarrow m = \frac{0 - 1}{5 - 7}$

$\Rightarrow m = \frac{1}{2}$

Using Slope - point formula,

$y - 0 = \frac{1}{2} (x - 5)$

$\Rightarrow y = \frac{1}{2} x - \frac{5}{2}$

Conclusion

Hence, equation of the line passing through the given points $(7, 1)$ and $(5, 0)$ is, $y = \frac{1}{2} x - \frac{5}{2}$

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Find an Equation of the Line Given Two Points $(7, 1)$ and $(5, 0)$ . Write the equation in slope–intercept form.

Short Answer

Step by step solution

Given information

Concept used

Explanation

Conclusion

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Find an Equation of the Line Given Two Points (7,1)and (5,0). Write the equation in slope–intercept form.

Short Answer

Step by step solution

Given information

Concept used

Explanation

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Pure Maths

Mechanics Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find an Equation of the Line Given Two Points $(7, 1)$ and $(5, 0)$ . Write the equation in slope–intercept form.