Graphing/Solving 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 x or as a constant.

Front

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

Back

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

Front

Back

Subtract 3x from both sides to get y = -3x + 12.

Front

Back

The y-intercept is 8, which is the value of y when x = 0.

Front

Back

Add 4x to both sides to get y = 4x + 8.

Front

Back

The slope is 3, indicating that for every unit increase in x, y increases by 3 units.

Front

Back

Subtract 8x from both sides and then divide by 4 to get y = -2x + 4.

Front

What does the term 'linear equation' refer to?

Back

A linear equation is an equation that graphs to a straight line, typically in the form y = mx + b.

Front

Back

Distribute 6 to get y + 10 = 6x - 12, then subtract 10 to find y = 6x - 22.

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.