Point-Slope Form

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 find the slope from 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 represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

Convert the point-slope equation y - 4 = 2(x - 3) to slope-intercept form.

Back

y = 2x - 2.

Front

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

Back

The slope is 3.

Front

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

Back

y - 4 = -2(x - 1).

Front

What is the y-intercept of the line given by the equation y = 1/2x + 3?

Back

The y-intercept is 3.

Front

How do you convert the equation y = mx + b to point-slope form?

Back

You can convert it by using a point (x1, y1) on the line: y - y1 = m(x - x1).

Front

What is the equation of a line with a slope of 4 that passes through the origin?

Back

The equation is y = 4x.

Front

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

Back

A slope of 0 indicates that the line is horizontal.