12-2-24 Bell Work: Write the equation of the line

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

How do you find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Given the equation y = 3x + 4, what is the slope and y-intercept?

Back

Slope (m) = 3, y-intercept (b) = 4.

Front

How do you write the equation of a line given two points (x1, y1) and (x2, y2)?

Back

1. Calculate the slope m using m = (y2 - y1) / (x2 - x1). 2. Use point-slope form: y - y1 = m(x - x1) to find the equation.

Front

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

Back

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

Front

Find the equation of the line that passes through (1, 2) and (3, 6).

Back

The equation is y = 2x.

Front

What is the significance of a slope of 0 in a linear equation?

Back

A slope of 0 indicates a horizontal line, meaning the y-value remains constant regardless of x.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

Find the equation of the line that passes through (0, 0) and (4, 8).

Back

The equation is y = 2x.