Writing Linear Equations

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you identify the slope from a linear equation in point-slope form?

Back

In the point-slope form y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Front

Given the point (4, -7) and slope m = -1/4, write the equation in point-slope form.

Back

y = -1/4(x - 4) - 7.

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

If a line has a positive slope, what can be said about its direction?

Back

A line with a positive slope rises from left to right.

Front

If a line has a negative slope, what can be said about its direction?

Back

A line with a negative slope falls from left to right.

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 the equation represents.

Front

How do you convert point-slope form to slope-intercept form?

Back

To convert point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

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

Back

y = -3(x + 2) - 1.

Front

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

Back

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