Question

Question #86ac4

Answer 1

`y=-11`

Explanation:

Slope formula given two points (`\color(indianred)(x_1,y_1)`) and (`\color(steelblue)(x_2,y_2)`):
`\color(seagreen)(m)=(\color(steelblue)(y_2)-\color(indianred)(y_1))/(\color(steelblue)(x_2)-\color(indianred)(x_1))`

Your points are (`\color(indianred)(5,-2)`) and (`\color(steelblue)(2,y)`), and slope is `\color(seagreen)(m=3)`.

`\therefore\color(seagreen)(3)=(\color(steelblue)(y)-(\color(indianred)(-2)))/(\color(steelblue)(2)-\color(indianred)(5))=(y+2)/(-3)`

`3(-3)=y+2`
`-9=y+2`
`y=-9-2=-11`