Point slope and standard form - kaplan

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 equation y - y1 = m(x - x1) to get y = mx + b.

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

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 are the x and y intercepts of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

Front

Convert the equation -x + 4y = 11 to slope-intercept form.

Back

y = (1/4)x + 11/4.

Front

What is the x-intercept of the equation 5x - 3y = 15?

Back

The x-intercept is 3.

Front

What is the y-intercept of the equation 5x - 3y = 15?

Back

The y-intercept is -5.

Front

Write the equation in point-slope form for the line with slope -1/4 passing through (4, -7).

Back

y + 7 = -1/4(x - 4).

Front

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

Back

y = 3x.