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Math  /  Algebra

QuestionIdentify the parts of the equation: y=mx+by=m x+b

Studdy Solution

STEP 1

1. The equation y=mx+b y = mx + b is in the form of a linear equation.
2. This equation represents a straight line when graphed on a coordinate plane.
3. The equation is written in slope-intercept form.

STEP 2

1. Identify the variable y y .
2. Identify the variable x x .
3. Identify the coefficient m m .
4. Identify the constant b b .

STEP 3

Identify the variable y y :
The variable y y represents the dependent variable in the equation. It is the output value that depends on the value of x x .

STEP 4

Identify the variable x x :
The variable x x represents the independent variable in the equation. It is the input value that determines the value of y y .

STEP 5

Identify the coefficient m m :
The coefficient m m is the slope of the line. It represents the rate of change of y y with respect to x x . It indicates how steep the line is.

STEP 6

Identify the constant b b :
The constant b b is the y-intercept of the line. It represents the value of y y when x=0 x = 0 . It is the point where the line crosses the y-axis.
The parts of the equation y=mx+b y = mx + b are: - y y : Dependent variable - x x : Independent variable - m m : Slope - b b : Y-intercept

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