Point Slope Form

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation: 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. It indicates how steep the line is and the direction it goes (positive or negative).

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 goes downwards from left to right.

Front

Convert the point-slope form y - 2 = 3(x - 1) to slope-intercept form.

Back

y = 3x - 1.

Front

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

Back

The slope is -2.

Front

How do you find a point on a line given its equation in point-slope form?

Back

Substitute any value for x into the equation to find the corresponding y value.

Front

Write the point-slope form of the line that passes through (1, 2) with a slope of 4.

Back

y - 2 = 4(x - 1).

Front

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

Back

It is a specific point that the line passes through, used to define the line's position.

Front

If the slope of a line is zero, what does that mean?

Back

A zero slope means the line is horizontal and does not rise or fall as x changes.

Front

What is the equation of a line with a slope of 1 that passes through the point (3, 3)?

Back

y - 3 = 1(x - 3).