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

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 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 (y = mx + b), solve for y.

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

What is standard form of a linear equation?

Back

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

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 does the slope of a line represent?

Back

The slope 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 by the value of b in the slope-intercept form.

Front

How do you write an equation in slope-intercept form given a slope and a point?

Back

Use the formula y - y1 = m(x - x1) to find the equation, then rearrange to y = mx + b.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 in the equation.

Front

How can you identify a vertical line from its equation?

Back

A vertical line has an equation of the form x = a, where a is a constant.