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 of a line represent in a linear equation?

Back

The slope of a line 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 in the point-slope form?

Back

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

Front

For the equation y - 3 = 2(x + 4), what point does the line contain?

Back

The line contains the point (-4, 3).

Front

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

Back

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

Front

What is the general process to find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), substituting the given point (x1, y1) and slope m.