Question

Find the equation of the line.
Use exact numbers.

Answer 1

Take 2 points

• (0,4)
• (-6,0)

Slope:-

`\\ \sf\longmapsto m=(0-4)/(-6)=(4)/(6)=(2)/(3)`

Equation in point slope form

`\\ \sf\longmapsto y-y_1=m(x-x_1)`

`\\ \sf\longmapsto y-4=(2)/(3)(x-0)`

`\\ \sf\longmapsto 3(y-4)=2x`

`\\ \sf\longmapsto 3y-12=2x`

`\\ \sf\longmapsto 3y=2x+12`

`\\ \sf\longmapsto 2x-3y+12=0`