Writing Equations from a Graph

Front

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

Back

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

Front

How do you identify the slope from a graph?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Write the equation of a line with a slope of 1 and a y-intercept of 2.

Back

y = 1x + 2 or y = x + 2.

Front

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

Back

The slope is -2.

Front

How do you convert the equation y = 3x - 4 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b, where m = 3 and b = -4.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

Write the equation of a line with a slope of -1/2 and a y-intercept of 4.

Back

y = -1/2x + 4.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

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

Back

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