48.5k views
2 votes
Find a point on the line and the line's slope. y - 2 = 2(x - 4)

1 Answer

3 votes

Answer:

Slope=2

point=(0,-6)

Explanation:

This line is written in point slope form. Lets convert it to slope intercept (y=mx+b)

y-2=2(x-4)

1) Distribute the 2 to x and -4:

y-2=2x-8

2) Add 2 to both sides: (This is now in slope intercept form)

y=2x-6

We have now found the line's slope, 2. Lets next look for a point on the line!

We know that the y-intercept of the line is -6, so lets use that point!

The point is: (0,-6)

Footnotes:

In slope intercept form (y=mx+b), m is the slope and b is the y-intercept.

The y-intercept is the point where the line crosses the y-axis on a graph

User Simon Ingeson
by
6.2k points