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What do m and b represent in y=mx+b?
What do m and b represent in y=mx+b?
Start by using the Slope Formula to find the slope.
Slope: -6/5
y-intercept: (0,-7)
Slope: 3/2
y-intercept: (0,-5)
Slope: 2
y-intercept: (0,-12)
Equations in slope-intercept form follow a specific format, where m represents the slope of the line and b is the y-intercept.
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+2y=RHS+2y
LHS-10=RHS-10
.LHS /2.=.RHS /2.
Rearrange equation
The given equation is now in slope-intercept form. Below we have highlighted the slope m and y-intercept b. y=3/2x-5 ⇒ y= 3/2x+( -5) We can see that the slope is 32 and the y-intercept is (0, -5).
An equation in slope-intercept form follows a specific format.
y= mx+b
For an equation in this form, m is the slope and b is the y-intercept.
Let's use the given points to calculate m. We will start by substituting the points into the Slope Formula.
Substitute ( 5,-2) & ( 8,4)
A slope of 2 means that for every 1 horizontal step in the positive direction, we take 2 vertical steps in the positive direction. Now that we know the slope, we can write a partial version of the equation. y= 2 x+b Now we will find the y-intercept, b. Since we know that the given points will satisfy the equation, we can substitute one of them into the equation to solve for b. Let's use ( 5, -2).
A y-intercept of -12 means that the line crosses the y-axis at the point (0,-12).