If you are looking at a graph with to coordinate The "Y-Intercept is" what is on the "Y-Axis". The "Y-Axis" is the big line that runs
through the middle of your coordinate plain (your graph). The "X-Axis" is what goes through the the middle of your coordinate plain but runs side-to-side. Now, you must find the slope of your two points. A slope intercept form would look like this---> y = mx + b. "m" is your slope and "b" is your y-intercept. We need to turn what we have now into that. So our slope "m" would be -3/4, now you may ask how did I do that, I'll show you. You might wanna draw out your two points on the graph to understand this better. You look at lets say the (0,2) first... now the way to find the slope is rise/run. That means you look at your rise from that point to the other point then the run from that point to the other point, the rise is what goes up and down, and run is what goes side to side. (0,2) is 3 lines away from (4,1). Then when you go the first 3 lines down, which is your rise, then you go 4 lines over which is you run. When you do that, you should be at your other point. That means your slope is -3/4. So far your slope intercept form looks like this---> y = -3/4x + b. Now were almost done, the next part is easy. Now we just look at our "Y-Axis". (0,2) is on the "Y-Axis" already so our "Y-Intercept" is 2. if it was below the "Y-Axis" our "Y-Intercept" would be -2. That leaves our Slope Intercept form at y = -3/4x + 2. That is Your Slope-Intercept form of a Linear Equation.
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A vertical line on a graph has an infinite slope, and no y-intercept.
If you mean: y = -3x then the slope is -3 and there is no y intercept
from a table to a graph just graph x and y (on a coordinate plane) from table to equation find the slope of the line and the y intercept. your equation should be in the form y=mx+b where m is the slope and b is the y intercept
because right away you can tell the slope and y-intercept
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