Question

Passes through (6,-3) slope: -1/3 write in slope intercept form ​

Answer 1

y =
`-(1)/(3)` x – 1 (see below)

Explanation:

First, refer to the slope-intercept formula:

y = mx + b

The variable m represents the slope. The slope is the steepness of the line. The variable b represents the y-intercept. The y-intercept is the point where the line intersects the y-axis.

The slope is already given, so you can plug it in:

y =
`-(1)/(3)` x + b

To find the y-intercept, you will need a point on the line. Because there is already a point in which you are required to intersect, you might as well use that point. Also, keep in mind that it's the simplest way to get a line through that point.

First, plug in the point's values (6, –3) into your almost-complete formula:

y =
`-(1)/(3)` x + b

–3 =
`-(1)/(3)` (6) + b

–3 = –2 + b

–3 + 2 = b

b = –1

Now that you have your y-intercept, your equation is complete:

y =
`-(1)/(3)` x – 1