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

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 a linear equation?

Back

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

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

How can you find the y-intercept from the equation y = 2x + 5?

Back

The y-intercept is 5, which is the value of b in the equation.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.

Front

How do you convert the equation y = 3x - 7 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is 3 and the y-intercept is -7.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -3?

Back

The equation is y = 1x - 3 or y = x - 3.

Front

How do 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).