Question

What is the y intercept of a line with a slope of 2 and containing the point (3,4)

Answer 1

The line cross the Y axis in y=-2

The equation of a line is Y=ax+b where a is the slope and b the y intercept of the line

we know that for x=3 => y=4 then we plug the values we know in the equation of the line:

`y=ax+b=2x+b`

now we use the point we know:

`4=2\cdot3+b`

then solve for b

`b=4-6=-2`

The the y intercept of the line is y=-2