Question

Find an equation for the line with the given properties. Express the equation in general form. Slope 9/4 ?; containing the point (-6,-8)

Answer 1

Answer: 9x-4y=-22

Explaination:

The equation of line with slope (m) and passing through the point (x₁, y₁) is given by the formula.

y-y₁=m(x-x₁) ----------------------------------------- (1)

Here, m=(9/4) and (x₁, y₁)=(-6, -8). So, using eqn 1

y-(-8)=(9/4){x-(-6)}

y+8=(9/4){x+6}

multiplying both sides by 4

4*(y+8)=4*(9/4){x+6}

4y+32=9{x+6}

4y+32=9x+54

OR

9x+54=4y+32

subtracing 4y and 54 from both sides

9x+54-4y-54=4y+32-4y-54

9x-4y=-22

This is the required equation of line in the general form (ax+by=c).