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 m is the slope and (x1, y1) is a point on the line.

Front

How do you find the y-intercept from a point-slope equation?

Back

To find the y-intercept from a point-slope equation, rearrange the equation into slope-intercept form (y = mx + b) and identify the value of b.

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

How can you convert point-slope form to slope-intercept form?

Back

To convert point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y - 6 = -2(x + 5)?

Back

The slope of the line is -2.

Front

Given the point (9, -6) and a slope of 10, write the equation in point-slope form.

Back

The equation is y + 6 = 10(x - 9).

Front

What is the y-intercept of the line y - 4 = ½(x - 8)?

Back

The y-intercept is 0, as the equation can be rearranged to y = ½x + 0.

Front

How do you determine the slope from two points?

Back

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

Front

What is the equation of a line with a slope of ⅔ passing through the point (-4, 7)?

Back

The equation is y - 7 = ⅔(x + 4).

Front

What is the significance of the point (x1, y1) in point-slope form?

Back

The point (x1, y1) is a specific point on the line used to define the line's position.