Solve for y

Front

What does it mean to 'solve for y' in an equation?

Back

To 'solve for y' means to isolate the variable y on one side of the equation, expressing it in terms of other variables or constants.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How do you isolate y in the equation 6x + y = 10?

Back

Subtract 6x from both sides to get y = -6x + 10.

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

In the equation 7x + 2y = 20, how do you solve for y?

Back

Subtract 7x from both sides, then divide by 2: y = -7/2x + 10.

Front

What is the y-intercept in the equation y = -5x - 10?

Back

The y-intercept is -10, which is the value of y when x = 0.

Front

How do you convert the equation 3x + y = 12 into slope-intercept form?

Back

Isolate y: y = -3x + 12.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How can you check if your solution for y is correct?

Back

Substitute the value of y back into the original equation to see if both sides are equal.

Front

What is the relationship between the coefficients of x and y in the equation 2x + 2y = 6?

Back

The coefficients indicate the ratio of change between x and y; in this case, they are equal, suggesting a specific relationship.