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 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 convert a linear equation from slope-intercept form to point-slope form?

Back

To convert from slope-intercept form (y = mx + b) to point-slope form (y - y1 = m(x - x1)), identify a point (x1, y1) on the line and use the slope m.

Front

Given the point (2, 5) and slope m = -3, write the equation in point-slope form.

Back

y - 5 = -3(x - 2)

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The slope is -3.

Front

Given the point (-1, 2) and slope m = 7, write the equation in point-slope form.

Back

y - 2 = 7(x + 1)

Front

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

Back

The point (x1, y1) is a specific point through which the line passes.

Front

For the equation y - 3 = 2(x + 4), what is the slope and a point on the line?

Back

The slope is 2, and the line passes through the point (-4, 3).

Front

What is the point given in the equation y - 2 = 3(x + 1)?

Back

The point is (-1, 2).

Front

How do you identify a point on a line given in point-slope form?

Back

To identify a point, substitute a value for x into the equation and solve for y.