Question

Write the equation of a line, in slope intercept form, that has a slope of 1/2 and passes through the point (6, -3).

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

We have the slope

`m=(1)/(2)\to y=(1)/(2)x+b`

Put the coordinates of the point (6, -3) to the equation of the line:

`-3=(1)/(2)(6)+b\\\\-3=3+b\qquad\text{subtract 3 from both sides}\\\\-6=b\to b=-6`

Answer:
`y=(1)/(2)x-6`