3. Linear Functions and Slope-Intercept Form
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What do m and b represent in y=mx+b?
Slope: -1/2
y' -intercept:' (0,-5/2)
Equations in slope-intercept form follow a specific format, where m represents the slope of the line and b is the y-intercept.
y= mx+ b
LHS * 3=RHS* 3
LHS+2y=RHS+2y
LHS-5=RHS-5
.LHS /2.=.RHS /2.
Rearrange equation
The given equation is already in this form. Below we have highlighted the slope m and y-intercept b. y= -1/2x -5/2 ⇒ y= -1/2x+( -5/2) We can see that the slope is - 12 and the y-intercept is (0, - 52).