slope intercept from two points

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 calculate the slope (m) from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Given the points (–1, 0) and (4, –5), what is the slope of the line?

Back

The slope is m = (–5 - 0) / (4 - (–1)) = -5/5 = -1.

Front

What is the equation of the line in slope-intercept form that passes through (–1, 0) and (4, –5)?

Back

The equation is y = –x – 1.

Front

How do you find the y-intercept from the slope-intercept form equation?

Back

The y-intercept can be found directly from the equation as the value of b.

Front

What is the y-intercept of the line represented by the equation y = -2x - 2?

Back

The y-intercept is (0, -2).

Front

Given the points (-4,-7) and (-6,9), what is the slope of the line?

Back

The slope is m = (9 - (–7)) / (–6 - (–4)) = 16 / -2 = -8.

Front

What is the equation of the line in slope-intercept form that passes through (-4,-7) and (-6,9)?

Back

The equation is y = -8x - 39.

Front

Given the points (9, –1) and (–3, 7), what is the slope of the line?

Back

The slope is m = (7 - (–1)) / (–3 - 9) = 8 / -12 = -2/3.