Graphing y = mx + b

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

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

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept from a linear equation, set x = 0 and solve for y.

Front

What is the y-intercept of the equation y = 4x + 3?

Back

The y-intercept of the equation y = 4x + 3 is (0, 3).

Front

How do you determine the slope from two points on a line?

Back

The slope (m) can be determined using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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

Given the equation y = -2x + 6, what is the slope?

Back

The slope of the equation y = -2x + 6 is -2.

Front

How can you convert the equation y = -4/5x + 3 into standard form?

Back

To convert y = -4/5x + 3 into standard form, multiply through by 5 to eliminate the fraction: 4x + 5y = 15.