Writing Equations Review

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

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

Write the equation of a line with a slope of 4 and a y-intercept of -1.

Back

y = 4x - 1

Front

Given the slope m = 1 and a point (-2, 3), write the equation of the line.

Back

y = x + 5

Front

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

Back

First, calculate the slope using the two points, then use the point-slope form: y - y1 = m(x - x1).

Front

Write the equation of the line that passes through the points (-1, 1) and (1, 5).

Back

y = 2x + 3

Front

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

Back

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

Front

Write the equation of a line with a slope of -1/3 that passes through the point (6, -1).

Back

y + 1 = -1/3(x - 6)

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.