Slope Intercept with tables, graphs, equations, & word problems

Front

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

Back

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

Front

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

Back

In the equation y = mx + b, the slope is represented by the coefficient m.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the point where the line crosses the y-axis, which is the value of y when x = 0.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

How can you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the letter 'm' in the slope-intercept form?

Back

The letter 'm' represents the slope of the line in the slope-intercept form of a linear equation.

Front

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

Back

To graph a line, start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to determine the next points.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal, indicating that y remains constant regardless of the value of x.

Front

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.