Writing Slope Intercept Form from Graph

Front

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

Back

The slope-intercept form of a linear equation is given by 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

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

How can you find the slope from a graph of a line?

Back

The slope can be found by selecting two points on the line and using the formula (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 1/3x - 2?

Back

The slope of the line is 1/3.

Front

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

Back

The y-intercept of the line is -2.

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 (y = mx + b), solve for y.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 0?

Back

The equation of the line is y = 2x.

Front

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

Back

A negative slope indicates that the line descends from left to right.

Front

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

Back

The slope of the line is -1.