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

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

Back

To convert, solve for y: y = mx + (y1 - mx1).

Front

What does 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept of the line.

Front

Write the point-slope form of the line that passes through (2, 3) with a slope of 4.

Back

y - 3 = 4(x - 2).

Front

If a line has a slope of -2 and passes through the point (1, 5), what is its point-slope form?

Back

y - 5 = -2(x - 1).

Front

What is the slope of the line represented by the equation y + 1 = 2(x - 3)?

Back

The slope is 2.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.