Slope-Intercept Form, Point-Slope Form, Standard Form

Front

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

Back

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

Front

What does the 'm' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

What does the 'b' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

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, solve for y to get y = mx + (y1 + m*x1).

Front

What is point-slope form?

Back

Point-slope form is an equation of a line 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 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 standard form of a linear equation?

Back

Standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert slope-intercept form to standard form?

Back

To convert y = mx + b to standard form, rearrange the equation to the form Ax + By = C.

Front

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

Back

The slope of the line is -3.

Front

Write the equation in point-slope form for the line that contains the points (-2, -3) and (4, 3).

Back

y + 3 = 1(x + 2).