Linear Equations in All Forms

Front

What are the x- and y-intercepts of the equation 5x - 3y = 15?

Back

(3, 0) and (0, -5)

Front

Convert the equation 3y = 5 - 4x into Standard Form.

Back

4x + 3y = 5

Front

What is the Slope-Intercept form of a linear equation?

Back

y = mx + b

Front

Write the equation in Slope-Intercept form given slope = 4/3 and y-intercept = -2.

Back

y = 4/3x - 2

Front

Write the equation in point-slope form for the line through (4, -7) with slope -1/4.

Back

y + 7 = -1/4(x - 4)

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form ax + by = c.

Front

What does 'slope' represent in a linear equation?

Back

The rate of change of y with respect to x, indicating the steepness of the line.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)