SOLUTION: Give a point and slope of a line, please solve for b Y= mx=b form. show all work. (1,3) slope=2 (-3,4) slope=4 (2,1) slope=-4

Algebra ->  Proportions -> SOLUTION: Give a point and slope of a line, please solve for b Y= mx=b form. show all work. (1,3) slope=2 (-3,4) slope=4 (2,1) slope=-4      Log On


   

Question 27959: Give a point and slope of a line, please solve for b Y= mx=b form. show all work.
(1,3) slope=2
(-3,4) slope=4
(2,1) slope=-4
Answer by akmb1215(68) About Me  (Show Source):
You can put this solution on YOUR website!
In y=mx+b form, x and y are the coordinates of the point, m is the slope, and b is the y-intercept. Knowing all that, just plug in what you know and solve for what you don't know.

In the first problem, when you plug in your information, you will get the equation 3+=+%282%29%281%29+%2B+b. To solve for b, first multiply 2 and 1 to get 3+=+2+%2B+b. Then, subtract 2 from both sides to get 1+=+b. Finally, to write that in proper y = mx+b form, just plug in your m and b to get y+=+2x%2B1.
In the second problem, when you plug in the information, you will get the equation 4+=+%28-3%29%284%29+%2B+b. Multiply -3 and 4 to get 4+=+-12+%2B+b. Add 12 to both sides to get 16+=+b. In proper form, this is y+=+4x%2B16.
In the final problem, when you plug in the information, you will get the equation 1+=+%28-4%29%282%29+%2B+b. Multiply -4 and 2 to get 1+=+-8+%2B+b. Add 8 to both sides to get 9=b. In proper form, this is y+=+-4x%2B9.