Point Slope Form

Front

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

Back

The point-slope form of a linear equation is given by 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 from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What does the slope represent in a linear equation?

Back

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

Front

What is the slope of the line represented by the equation y - 5 = 3(x + 2)?

Back

The slope is 3.

Front

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

Back

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

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation y + 9 = 3(x - 1) to slope-intercept form.

Back

y = 3x - 12.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope is -3.

Front

Write the equation in point-slope form for the line that contains the points (3, -5) and (5, -1).

Back

y + 5 = 2(x - 3).