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.

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 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

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 descends from left to right.

Front

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

Back

The y-intercept is 4.

Front

Convert the equation y = -2x + 5 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = -2x + 5.

Front

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

Back

The equation is y = 1x - 2 or simply y = x - 2.

Front

What is the slope of the line represented by the equation y = 0.5x + 1?

Back

The slope is 0.5.

Front

How do you determine the y-intercept from the equation y = -3x + 7?

Back

The y-intercept is the constant term, which is 7.