Solving for Y

Front

What is the process of solving for y in an equation?

Back

The process involves isolating y on one side of the equation, typically by performing algebraic operations such as addition, subtraction, multiplication, or division.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is alone on one side, making it easier to solve for its value.

Front

Given the equation 3x + y = 12, solve for y.

Back

y = -3x + 12

Front

Given the equation 2x + 2y = 6, solve for y.

Back

y = -x + 3

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Given the equation 4x + 3y = 9, solve for y.

Back

y = -4/3x + 3

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

Given the equation y + 2 = 3x, solve for y.

Back

y = 3x - 2

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.

Front

How do you convert an equation from standard form to slope-intercept form?

Back

To convert, solve for y in terms of x, rearranging the equation to the form y = mx + b.