Slope Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What do the letters 'm' and 'b' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line, and 'b' represents the y-intercept.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x, which is 'm' in the equation y = mx + b.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by 'b' in the equation y = mx + b.

Front

How can you graph a line given its slope and y-intercept?

Back

Start at the y-intercept (0, b) on the graph, then use the slope (rise/run) to find another point on the line.

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Front

What is the slope of the line represented by the equation y = -2/3x + 4?

Back

The slope of the line is -2/3.