Question

How do you find the point-slope form of the equation of the line passing through the Point: (1, –7); Slope: -2/3?

Answer 1

The main formula of a line is;
`y=ax+b`

We should use one point to find the real equation. If we use (1,-7) point;
`y= ax+b => -7=a+b`;
a is the slope of the equation, given as `-2/3`;
`-7=(-2/3*1) + b => -7=-2/3 +b => b=-7+2/3=> b=-19/3`
So the equation of the line will be;
`y=ax+b => ul (y= -2/3x-19/3)`