What is the slope and the y-intercept of the line on the graph below?
1 answer:
Well, since we do not know the line, the basic slope formula is Y = mX + B
So look at the line and see where is crosses the y axis (the vertical) and that is your B in the formula or the "Y-intercept" as an example I will used the number 1. Then on your line pick two points, I will use the points (4,4) and (1,2) as an example. To find your slope take the Ys in those points (the second number) and subtract them 4 - 2 = 2. Then subtract the Xs (the first numbers) 4 - 1 = 3. Lastly, take the 2 and divide it by the 3 (yes it can be a fraction) and that is your slope. So the entire answer with my examples would be Y =
x + 1 with 1 being my y-intercept and 2/3 being my slope
So look at the line and see where is crosses the y axis (the vertical) and that is your B in the formula or the "Y-intercept" as an example I will used the number 1. Then on your line pick two points, I will use the points (4,4) and (1,2) as an example. To find your slope take the Ys in those points (the second number) and subtract them 4 - 2 = 2. Then subtract the Xs (the first numbers) 4 - 1 = 3. Lastly, take the 2 and divide it by the 3 (yes it can be a fraction) and that is your slope. So the entire answer with my examples would be Y =
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Answer:
Step-by-step explanation:
First, we can find the slope using the slope equation and two of the points.
Slope equation:
I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.
Simplify:
Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is