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What is the point slope for the top and slope intercept for the bottom? TIA​

What is the point slope for the top and slope intercept for the bottom? TIA​-example-1
User Alfred Xiao
by
2.7k points

1 Answer

22 votes
22 votes

Answer:

It looke like the point given is (1,2) and the slope is 3

Point slope form: y - 2 = 3(x -1)

Slope Intercept form: y =
(-1)/(3)x + 1

Explanation:

Point slope As they name implies, you need a point and a slope. The picture is a little hard to read, but it looks like the point plotted is (1,2) The slope is the change in y over the change in x. It looks like from that point to get back on the line only using horizontal and vertical moves, we would move up three and 1 to the right to get back on the line at point (2,5).

The point slope form of a line is:

y -
y_(1) = m( x -
x_(1)) Plug in 2 for
y_(1) and 1 for
x_(1) amd 3 for m

y = 2 = 3( (x-1)

Slope intercept form: As the names implies we need a slope and a yi-intercept.

The slope is
(-1)/(3). Select a point on the line. If you can only move veritacl and horizontal. You would move down 1 unit and three units to the right. The y intercept is where the line crosses the y axis. In this case 1

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

User Heartcroft
by
3.2k points
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