Find the equation of a line that passes through the given points and with the gi...

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October 2022 1 1 Report

Find the equation of a line that passes through the given points and with the given slope. 1. slope (x) = 2; point (3, 1) 2.slope (x) = -4; point (-4,-6)

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UK2019

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✏️POINT-SLOPE

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Direction: Find the equation of a line that passes through the given points and with the given slope.

Solution: Using the Point-slope Form Formula to find the equation of the line.

$\begin{aligned}& \bold{ \color{lightblue}Formula:} \\& \boxed{ y - y_1 = m\big(x - x_1\big)} \end{aligned}$

#1. slope = 2; point: (3, 1)

$y - 1= 2\big(x - 3\big)$

$y - 1 = 2x - 6$

$y = 2x - 6 - 1$

$y = 2x - 7$

- Therefore, the equation of the line is:

$\large \rm Equation = \boxed{ \rm \green{ \: y = 2x - 7 \: }}$

$\large \rm$

#2. slope = -4; point: (-4,-6)

$y - ( \text - 6)= \text - 4\big(x - ( \text - 4) \big)$

$y + 6= \text - 4\big(x + 4 \big)$

$y + 6 = \text - 4x - 16$

$y = \text - 4x - 16 + 6$

$y = \text - 4x - 10$

- Therefore, the equation of the line is:

$\large \rm Equation = \boxed{ \rm \green{ \: y = \text -4x - 10 \: }}$

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Verified answer

✏️POINT-SLOPE

===============================

===============================

Add an Answer

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pa help guys kaylangan ko now

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