Point Slope Form

Front

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

Back

The point-slope form of a linear equation 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 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 does the slope represent in a linear equation?

Back

The slope 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 of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear equation?

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

Given the equation y + 1 = -3(x - 5), what is the slope?

Back

The slope is -3.

Front

If a line has a slope of 2 and passes through the point (4, 3), what is its equation in point-slope form?

Back

The equation in point-slope form is y - 3 = 2(x - 4).

Front

What is the first step to write the equation of a line in point-slope form?

Back

Identify a point on the line and the slope.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.