Slope Intercept and Point Slope Form

Front

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

Back

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

Front

What does the slope (m) 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

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

Back

Start with y - y1 = m(x - x1) and solve for y to get y = mx - mx1 + y1.

Front

What is point-slope form of a linear equation?

Back

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

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 y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Convert the equation y + 2 = -3(x - 5) to slope-intercept form.

Back

y = -3x + 13.

Front

What is the slope of the line represented by the equation y - 5x = 11?

Back

The slope is 5.

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.

Front

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

Back

The point (x1, y1) is a specific point on the line used to define the line's position.