What is the equation of a line with a slope of 3 and a point

1 answer:

8 0

Answer: y = 3x-8

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Explanation:

The slope is 3, so m = 3

The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)

We'll use m = 3, x = 3 and y = 1 to find the y intercept

y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8

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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept

So y = mx+b updates to y = 3x-8. This is the final answer.

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Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.

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Y=-2/3x+2 how to graph

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Step-by-step explanation:

Starting from y-intercept of [0, 2], you can either move two blocks north over 3 blocks west or two blocks south over three blocks east. Either way, you will still get this line because this is a negative rate of change [slope].

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**I have a video that explains something like this. It is titled "Finding Slopes, y-intercepts, Perpendicular Equations, and Parallel Equations". I encourage you to watch the video and gain alot more knowledge from it, so you can better understand the concepts.