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 general form of a linear equation in two variables?

Back

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

Front

How do you isolate y in the equation 3y - 9 = 18x?

Back

Add 9 to both sides to get 3y = 18x + 9, then divide by 3 to get y = 6x + 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

How can you convert the equation x - 5y = 20 into slope-intercept form?

Back

Rearrange to get 5y = x - 20, then divide by 5 to get y = (1/5)x - 4.

Front

What is the slope of the line represented by the equation y = -7/2x + 10?

Back

The slope is -7/2.

Front

How do you find the y-intercept from the equation y = -2x + 4?

Back

The y-intercept is the value of y when x = 0, which is 4.

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How can you express y in terms of x from the equation 5x - y = 6?

Back

Rearrange to get y = 5x - 6.

Front

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

Back

Coefficients determine the slope and position of the line on the graph.