Given point and slope, find the slope-intercept equation.

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 of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula 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 as (0, b) in the slope-intercept form.

Front

Given a slope of 5 and a point (3, -5), what is the equation of the line?

Back

y = 5x - 20.

Front

If a line has a slope of -1/2 and passes through the point (-2, 4), what is its equation?

Back

y = -1/2x + 3.

Front

From the equation y = 3/2x + 3, what is the slope and y-intercept?

Back

Slope: 3/2, y-intercept: (0, 3).

Front

How do you convert a point-slope form to slope-intercept form?

Back

Start with y - y1 = m(x - x1) and solve for y to get y = mx + b.

Front

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

Back

The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

Write the slope-intercept form of the equation through (2, 5) with m = 1/2.

Back

y = 1/2x + 4.