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 convert the equation 5x - 4y = -20 into slope-intercept form?

Back

y = (5/4)x + 5

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

Convert the equation x - 5y = 10 into slope-intercept form.

Back

y = (1/5)x - 2

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Convert the equation 6x - y = 1 into slope-intercept form.

Back

y = 6x - 1

Front

What is the slope of the line that passes through the points (0, -2) and (3, -4)?

Back

The slope is -2/3.

Front

If a line has a slope of 4 and a y-intercept of 2, what is its slope-intercept form?

Back

y = 4x + 2

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.