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 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

What is the y-intercept in the slope-intercept form?

Back

The y-intercept (b) is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

Given points (–9, 6) and (0, 1), what is the slope?

Back

The slope is m = (1 - 6) / (0 - (-9)) = -5/9.

Front

Write the equation in slope-intercept form for points (–9, 6) and (0, 1).

Back

y = -(5/9)x + 1.

Front

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

Back

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

Front

Write the equation in slope-intercept form for points (9, –1) and (–3, 7).

Back

y = -(2/3)x + 5.

Front

Given points (7, –3) and (6, –8), what is the slope?

Back

The slope is m = (-8 - (-3)) / (6 - 7) = -5 / -1 = 5.

Front

Write the equation in slope-intercept form for points (7, –3) and (6, –8).

Back

y = 5x - 38.