Answer:
Equation of a Line (slope and intercept form)
Definition: A straight line on the coordinate plane can be described by the equation
y = mx+b
where m is the slope of the line and b is the intercept.
Try this Adjust the sliders on the right. They control the slope (m) and the intercept (b) of the line. The equation and the line will change accordingly. You can also drag the origin.
y = 0.5 x +10.0 Slope (m) = 0.5 Intercept (b) = +10.0
Any straight line on the coordinate plane can be described by the equation
y = mx+b
where:
x,y are the coordinates of any point on the line
m is the slope of the line
b is the intercept (where the line crosses the y-axis)
Recall that the slope (m) is the "steepness" of the line and b is the intercept - the point where the line crosses the y-axis. In the figure above, adjust both m and b with the sliders to see the effect of these variables.
Equations of this type that have no exponents in them (such as x2) are called 'linear equations' because they always graph as straight lines. The word "linear" is derived from "line".
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