Writing Equations & 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 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 of a line represent?

Back

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

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

Convert the equation y = 2x + 3 to point-slope form using the point (0, 3).

Back

The point-slope form is y - 3 = 2(x - 0).

Front

What is the significance of the point (x1, y1) in the point-slope form?

Back

The point (x1, y1) is a specific point on the line that helps define the line's position.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

An undefined slope indicates that the line is vertical.

Front

Write the equation of a line in point-slope form that passes through (2, 5) with a slope of -1.

Back

y - 5 = -1(x - 2).

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.