Question

Write the equation of a line, in slope intercept form, that has a slope of -3 and passes through the point (4, 2).

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

We have the slope
`m=-3\to y=-3x+b`

and point (4, 2). Substitute:

`2=-3(4)+b`

`2=-12+b` add 12 to both sides

`14=b\to b=14`

Answer:
`y=-3x+14`