SOLUTION: derive the slope intercept form of a linear equation from the slope formula using (0,b) as the coordinates of the point where the line crosses the y axis and an arbitary point (x,y

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Question 215984This question is from textbook
: derive the slope intercept form of a linear equation from the slope formula using (0,b) as the coordinates of the point where the line crosses the y axis and an arbitary point (x,y) This question is from textbook

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Derive the slope intercept form of a linear equation from the slope formula using (0,b) as the coordinates of the point where the line crosses the y axis and an arbitary point (x,y)

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept b at point (0,b).

Step 2. The slope formula is given for two points P(x1,y1) and Q(x2,y2) as

m=%28y2-y1%29%2F%28x2-x1%29

Step 3. Now let x2=x, y2=y, x1=0, and y1=b and substitute in the slope formula in Step 2.

m=%28y2-y1%29%2F%28x2-x1%29=%28y-b%29%2F%28x-0%29=%28y-b%29%2Fx

Multiply x to both sides of the equation to get rid of denominator

mx=x%28y-b%29%2Fx

mx=y-b

Now add b to both sides of the equation.

mx%2Bb=y

y=mx%2Bb ANSWER

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J