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y = mx + b is just a general formula. Unless m and b are actual numbers, you can't really graph it. If m and b are real numbers, though, there are two steps to graphing the equation.
(1) Find a point on the line. The easiest point to locate is the y-intercept. Plug in zero for x, then simplify the right side of the equation to find the corresponding y value. Then plot the point (x, y) on your two-dimensional plane.
(2) Use the slope m to direct the rest of the line from that point. Write m as a fraction in its lowest form. The numerator tells you how many units up (or down, if negative) from the plotted point you should move. The denominator tells you how many units right (or left, if negative) from the plotted point you should move. After you follow the direction of both of these numbers, plot another point.
Draw a straight line that goes through both points, and you have graphed the equation!
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The of a line is the set of all points x y which satisfy the equation y equals mx plus b?
graph
Y equals mX plus b rearrange to solve for b?
y = mx + b y - mx = b
How do you graph an equation written in y equals mx plus b form?
You draw a straight line through (0,b) which has a slope of m.
How do you solve y equals mx plus b solve for b?
b = y - mx.
What is the difference between y equals mx plus b and y equals mx plus c?
There is no difference; it is a matter of choice and convention as to what letter is used.
