Slope Intercept Form

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

What does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept of the line.

Front

How do you find the y-intercept from a graph?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

What is the equation of a line with a slope of 1 and a y-intercept of 3?

Back

The equation is y = 1x + 3 or simply y = x + 3.

Front

How do you convert the equation y = 2x + 1 to standard form?

Back

To convert to standard form, rearrange to get -2x + y = 1 or 2x - y = -1.

Front

What is the y-intercept of the line y = 0.5x + 2?

Back

The y-intercept is 2.