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Norma, I'm going to illustrate with a different equation, 4x - 3y = 7. The slope intercept form of a line is y = mx + b. What I want you to see here is that y appears alone on the left side of the equality sign and the terms on the right side are organized as a number, m, times x plus another number b. The number m is the slope and b is the y-intercept. I want to put 4x - 3y = 7 in the slope intercept form so that I can determine the slope m and the y-intercept b.
I want only the y-term on the left side so subtract 4x from each side
which simplifies to
In the slope intercept form the coefficient in front of y is 1 so divide both sides by -3
which becomes
Changing the order of the terms on the right I get
This is now in the slope intercept form and I can see that the slope m is 4/3 and the y-intercept b is -7/3. Nw try the two equations you have, | ||||||||||||
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