SOLUTION: X Y 1 0.01 2 0.02 3 0.03 Have to find rate of change ,y intercept, and equation in intercept form! Hurry!!!!!!!!!!!!!!!!

Algebra ->  Linear-equations -> SOLUTION: X Y 1 0.01 2 0.02 3 0.03 Have to find rate of change ,y intercept, and equation in intercept form! Hurry!!!!!!!!!!!!!!!!      Log On


   

Question 164221: X Y
1 0.01
2 0.02
3 0.03
Have to find rate of change ,y intercept, and equation in intercept form!
Hurry!!!!!!!!!!!!!!!!
Answer by aka042(26) About Me  (Show Source):
You can put this solution on YOUR website!
Let's start with determing the slope-intercept form. This equation follows the form y = mx+b, where m is the slope of the line and b is the y-intercept. To find the slope, we chose two y values and divide the difference by the two corresponding x values. The equation for the slope is m+=+%28y2-y1%29%2F%28x2-x1%29. So let's choose y2 = .02 and y2= .01. The corresponding x values are x2 = 2 and x1 = 1. Therefore the slope is +m+=+%28.02+-+.01%29%2F%282-1%29+=+%28.01%29%2F1+=+.01. So we now have the equation y = .01*x+b. To find b (the y-intercept), we put in an a value of y and x from the table and solve for b. Let's choose the first row, x = 1 and y =.01. Therefore .01+=+.01%2A%281%29+%2B+b, which means b = 0. Therefore our slope-intercept form is +y+=+.01%2Ax.


The rate of change is simply the slope, which is .01, and the y-intercept is b, which is 0.