point slope and slope intercept

Front

What is the slope in the equation y=mx+b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What is the slope in the equation y=2x + 3?

Back

The slope is 2.

Front

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

Back

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

Front

Write an equation in point-slope form for the point (7,10) with a slope of -2.

Back

y - 10 = -2(x - 7).

Front

Write an equation in point-slope form for the point (3,8) with a slope of 5.

Back

y - 8 = 5(x - 3).

Front

What is slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation for the line in slope-intercept form: y = 4x + 3.

Back

The slope is 4 and the y-intercept is 3.

Front

Convert to slope-intercept form: y - 3 = -2(x + 4).

Back

y = -2x - 5.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line.