Point-Slope and Slope Intercept Form Practice

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 the slope represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the point-slope equation y - y1 = m(x - x1) to get y = mx + (y1 + m*x1).

Front

What is the slope of the line represented by the equation y = -8x + 6?

Back

The slope of the line is -8.

Front

Given a slope of ⅔ and a point (-4, 7), what is the point-slope form of the equation?

Back

The point-slope form is y - 7 = ⅔(x + 4).

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 5, what does this indicate about the line's steepness?

Back

A slope of 5 indicates that for every 1 unit increase in x, y increases by 5 units, making the line steep.

Front

What is the equation of a line in point-slope form if the slope is 2 and it passes through the point (1, 3)?

Back

The equation is y - 3 = 2(x - 1).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).