Convert from Standard to Slope-Intercept

Front

What does the 'm' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The 'm' represents the slope of the line.

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 do you convert the equation -10x + 2y = 14 into slope-intercept form?

Back

To convert it, solve for y: 2y = 10x + 14, then y = 5x + 7.

Front

What is the y-intercept in the equation y = 5x + 7?

Back

The y-intercept is 7, which is the value of y when x = 0.

Front

How can you identify the slope from the equation y = -2x + 2?

Back

The slope is -2, which indicates the line falls as it moves from left to right.

Front

What is the first step to convert the equation 2x + y = 2 into slope-intercept form?

Back

The first step is to isolate y by subtracting 2x from both sides: y = -2x + 2.

Front

What does the term 'slope' indicate in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

In the equation y = mx + b, what does 'b' represent?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the graphical representation of the equation y = 1/2x - 5?

Back

The graph is a straight line with a slope of 1/2 and a y-intercept at -5.

Front

How do you determine if an equation is in slope-intercept form?

Back

An equation is in slope-intercept form if it can be expressed as y = mx + b, where m and b are constants.