Slope Intercept Form: 2 Points and a point and a slope

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 slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

y = 3x + 2.

Front

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

Back

y = -3x + 1.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

Calculate the slope of the line that passes through the points (1, -8) and (-3, 0).

Back

The slope is -2.

Front

How do you write the equation of a line given two points?

Back

First, find the slope using m = (y2 - y1) / (x2 - x1), then use the point-slope form y - y1 = m(x - x1) to find the equation.

Front

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

Back

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

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

An undefined slope indicates that the line is vertical.