slope intercept form given slope and point

Front

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

Back

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

Front

How do you find the y-intercept from a point and slope?

Back

To find the y-intercept (b), use the point (x, y) and the slope (m) in the equation y = mx + b. Rearrange to solve for b: b = y - mx.

Front

Given the slope m = 3 and point (1, 4), write the equation in slope-intercept form.

Back

y = 3x + 1.

Front

Given the slope m = -5 and point (3, -1), write the equation in slope-intercept form.

Back

y = -5x + 14.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x is constant and y can take any value.

Front

Given the slope m = 2/3 and y-intercept b = 4, write the equation in slope-intercept form.

Back

y = 2/3x + 4.

Front

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

Back

Start with the point-slope form y - y1 = m(x - x1) and solve for y to get it into the form y = mx + b.

Front

Given the slope m = -2/3 and y-intercept b = -6, write the equation in slope-intercept form.

Back

y = -2/3x - 6.