Question

If a line with slope = 6 and passes through points `(-4, y) and (2, 4y)`, what is the value of `y`?

Answer 1

`y=12`

Explanation:

`"using the "color(blue)"gradient formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`

`"where m is the slope"`

`"let "(x_1,y_1)=(-4,y)" and "(x_2,y_2)=(2,4y)`

`rArrm=(4y-y)/(2-(-4))=(3y)/6`

`"here slope = 6"`

`rArr(3y)/6=6rArr3y=36rArry=12`