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What information can you learn from the slope-intercept form of an equation?
Equations written in slope-intercept form follow a specific format.
y= mx+ b
In this form, m represents the slope of the line and b represents the y-intercept.
Since the given equation is not in slope-intercept form, let's rewrite it so that it will be easier to identify the slope and y-intercept.
LHS+3x=RHS+3x
.LHS /6.=.RHS /6.
a* b/c=a/c* b
Calculate quotient
Identity Property of Multiplication
Write as a sum of fractions
a* b/c=a/c* b
a/b=.a /3./.b /3.
Calculate quotient
Below we have highlighted the slope m and y-intercept b. y= 12x+ 2 The slope is 12. The y-intercept is 2, so the graph crosses the y-axis at the point (0, 2).
A slope of 12 means that for every 2 units we move in the positive horizontal direction, we move 1 unit in the positive vertical direction. m= 1/2 ⇔ rise/run=1/2 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
