Slope Intercept Form

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

What does 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating how steep the line is and the direction it goes.

Front

What does 'b' represent in the slope-intercept form?

Back

'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 the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of b in the equation.

Front

If the slope of a line is -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

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

Back

The slope is -5.

Front

How can you determine 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 equation of a line with a slope of 1 and a y-intercept of -3?

Back

The equation is y = x - 3.

Front

If a line has a slope of 0, what can be said about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the y-intercept of the equation y = 2x - 7?

Back

The y-intercept is -7.