Writing Equ of Lines (all methods - no par or perp)

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 of a line given 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 of a line?

Back

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

Front

Convert the equation -8x + 2y = 4 to slope-intercept form.

Back

The slope-intercept form is y = 4x + 2.

Front

Identify the slope and y-intercept in the equation y = 2x + 4.

Back

Slope: 2, y-intercept: 4.

Front

Write the equation of the line with slope 3 that passes through the point (1, 2).

Back

The equation is y = 3x - 1.

Front

What is the formula for the point-slope form of a line?

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

Write the equation of the line through the points (2, 3) and (4, 7).

Back

The equation is y = 2x - 1.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.