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Scorpion4ik [409]
3 years ago
14

Write a slope-intercept form of the equation if it passed the

Mathematics
1 answer:
inna [77]3 years ago
6 0

Answer:

\sf\longrightarrow \boxed{\pink{\sf 3x + 4y -8=0}}

Step-by-step explanation:

We need to write the slope intercept form of the equation which passes through (4,-1) and parallel to the line y = -3/4x .

We know that the line parallel to a given line has the same slope . Therefore the slope of the line will be , ( on comparing to Slope Intercept Form ) .

\sf\longrightarrow Slope =\dfrac{-3}{4}

On using point slope form ,

\sf\longrightarrow  y-y_1= m ( x - x_1)

Substitute the respective values ,

\sf\longrightarrow y - (-1) = \dfrac{-3}{4}( x - 4 )

Simplify ,

\sf\longrightarrow y +1 = \dfrac{-3}{4}x + 3

Multiply both sides by 4 ,

\sf\longrightarrow 4y + 4 = -3x + 12

Put all terms on same side , i.e. on LHS ,

\sf\longrightarrow \boxed{\pink{\sf 3x + 4y -8=0}}

<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> </u><u>the</u><u> line</u><u> </u><u>is </u><u>3x</u><u> </u><u>+</u><u> </u><u>4</u><u>y</u><u> </u><u>-</u><u> </u><u>8</u><u> </u><u>=</u><u> </u><u>0</u><u>. </u>

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