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jolli1 [7]
2 years ago
11

Line c has an equation of y = 4x + 9. Line dis parallel to line c and passes through (-4,-4).

Mathematics
1 answer:
natta225 [31]2 years ago
8 0

Answer:

\large\boxed{\sf y = 5x +16}

Step-by-step explanation:

Here it is given that a line c has a equation of ,

\sf\qquad\longrightarrow y = 4x + 9

And there is another line d which is parallel to line c and passes through the point (-4,-4) . And we need to find out the equation of the line .

Firstly we know that the slope of two parallel lines is same . So on comparing the given line to the slope intercept form of the line which is y = mx + c , we have ;

\sf\qquad\longrightarrow m = 4

Therefore the slope of the parallel line will be ,

\sf\qquad\longrightarrow m_{||}= 4

On using the point slope form of the line , we have ;

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

Substitute the values ,

\sf\qquad\longrightarrow y - (-4) = 5\{ x -(-4)\}

Simplify ,

\sf\qquad\longrightarrow y +4 = 5(x +4)

Open the brackets ,

\sf\qquad\longrightarrow y + 4 = 5x + 20

Subtract 4/on both sides ,

\sf\qquad\longrightarrow y = 5x +20-4

Simplify ,

\sf\qquad\longrightarrow \pink{ y = 5x + 16}

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