Question

Write the equation of a line, in slope intercept form, that has a slope of -2 and passes through the point (-1, 5).

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

We have the slope

`m=-2\to y=-2x+b`

Put the coordinates of the point (-1, 5) to the equation of the line:

`5=-2(-1)+b`

`5=2+b` subtract 2 from both sides

`3=b\to b=3`

Answer:
`y=-2x+3`