Point Slope form to Slope Intercept Form

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 point-slope form to slope-intercept form?

Back

To convert, solve for y: y - y1 = m(x - x1) becomes y = mx + (y1 - mx1).

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

Given the equation y - 2 = -4(x - 3), what is the slope?

Back

The slope is -4.

Front

Given the equation y - 2 = -4(x - 3), what is the y-intercept?

Back

The y-intercept is 14.

Front

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

Back

y = 3x - 12.

Front

What is the point used in the equation y + 6 = 10(x - 9)?

Back

The point is (9, -6).

Front

What is the equation of the line in point-slope form given a slope of ⅔ and the point (-4, 7)?

Back

y - 7 = ⅔(x + 4).

Front

Given the graph, how do you write the equation of the line in point-slope form?

Back

Identify a point on the line and the slope, then use the point-slope form.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.