Qzz: 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 the equation 4x + y = -10 to slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), isolate y: y = -4x - 10. The slope is -4 and the y-intercept is -10.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

Given the point (-2, -1) and slope -3, write the equation in point-slope form.

Back

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

Front

What is the significance of the point-slope form in graphing?

Back

Point-slope form allows you to easily graph a line by starting at a known point and using the slope to find other points.

Front

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

Back

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

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is the y-coordinate of any point on the line.

Front

How do you determine the y-intercept from the equation y - 3 = 4(x - 0)?

Back

Set x = 0: y - 3 = 4(0) => y = 3. The y-intercept is 3.