Write Equations y=mx + b from a graph

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, indicating how steep the line is.

Front

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

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope from a graph?

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 a line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line crosses the y-axis at (0, 2), what is the y-intercept?

Back

The y-intercept is 2.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting the values for m and b.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 3?

Back

The equation is y = -2x + 3.