Find the equation of the straight line passing through the point $(2, 3)$ and which is parallel to $5 x + 4 y = 13$ .

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Solution

The point through which the line passes through is $(2, 3)$
The line parallel to $5 x + 4 y = 13$ is $5 x + 4 y + k = 0$
It passes through $5 (2) + 4 (3) + k = 0 10 + 12 + k = 0 22 + k = 0 k = - 22$
The equation of line is $5 x + 4 y - 22 = 0$

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Find the equation of the straight line passing through the point (2,3) and which is parallel to 5x+4y=13.

The point through which the line passes through is (2,3)The line parallel to 5x+4y=13 is 5x+4y+k=0It passes through 5(2)+4(3)+k=010+12+k=022+k=0k=−22The equation of line is 5x+4y−22=0

Find the equation of the straight line passing through the point $(2, 3)$ and which is parallel to $5 x + 4 y = 13$ .

The point through which the line passes through is $(2, 3)$
The line parallel to $5 x + 4 y = 13$ is $5 x + 4 y + k = 0$
It passes through $5 (2) + 4 (3) + k = 0 10 + 12 + k = 0 22 + k = 0 k = - 22$
The equation of line is $5 x + 4 y - 22 = 0$