Writing Point-Slope and Converting to Slope-Intercept

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 Point-Slope form equation to get it into the form y = mx + b.

Front

What is Slope-Intercept form?

Back

Slope-Intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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

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 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 y when x = 0.

Front

Convert the equation y - 3 = 2(x - 4) to Slope-Intercept form.

Back

y = 2x - 5.

Front

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

Back

The slope is -3.

Front

Write the equation of a line with slope 1 that passes through the point (2, 3) in Point-Slope form.

Back

y - 3 = 1(x - 2).

Front

Identify the Slope-Intercept form of the equation: 3x - 4y = 12.

Back

y = (3/4)x - 3.