Point Slope Form

Front

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

Back

The point-slope form is represented as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

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

If a line has a positive slope, what does that indicate about its direction?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

If a line has a negative slope, what does that indicate about its direction?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope is 2.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

Write the point-slope form of the line that passes through (4, -7) with a slope of -1/4.

Back

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

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope is -3.

Front

Which of the following represents point-slope form: y - = m(x - ) or y = mx + b?

Back

y - = m(x - ) represents point-slope form.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.