Solving for Y

Front

What is the process of solving for y in a linear equation?

Back

To solve for y, isolate y on one side of the equation by performing inverse operations on both sides.

Front

What does the equation 10x - 2y = 6 represent?

Back

It represents a linear relationship between x and y, where y can be expressed in terms of x.

Front

How do you convert the equation 10x - 2y = 6 into slope-intercept form?

Back

Add 2y to both sides: 2y = 10x - 6, then divide by 2: y = 5x - 3.

Front

What is 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

What is the slope of the line represented by y = 5x - 3?

Back

The slope (m) is 5.

Front

What is the y-intercept of the line represented by y = -1/2x + 5?

Back

The y-intercept (b) is 5.

Front

How do you find the y-intercept from the equation 4x + 3y = 9?

Back

Set x = 0 and solve for y: 3y = 9, so y = 3.

Front

What does the equation 5x - y = 16 tell us about the relationship between x and y?

Back

It shows that for every increase in x, y decreases, indicating a negative relationship.

Front

How do you isolate y in the equation 2x + y = 41?

Back

Subtract 2x from both sides: y = 41 - 2x.

Front

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

Back

Coefficients represent the rate of change of y with respect to x.