Convert Point-Slope to Slope-Intercept

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 (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 to get the equation in the form y = mx + b.

Front

What does 'slope' represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

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

Given the point (2, 3) and slope 4, write the equation in slope-intercept form.

Back

y = 4x - 5.

Front

Given the point (-1, -2) and slope -3, write the equation in slope-intercept form.

Back

y = -3x - 1.

Front

What is the y-intercept in the equation y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

Convert the point-slope equation y - 1 = 3(x - 2) to slope-intercept form.

Back

y = 3x - 5.