Wednesday-Standard Form Graphing

Front

What is the standard form of a linear equation?

Back

Ax + By = C

Front

Graph the equation 2x + 4y = 4.

Back

The graph is a straight line that intersects the y-axis at (0,1) and the x-axis at (2,0).

Front

Which graph represents the equation 2x + 4y = 12?

Back

The graph is a straight line that intersects the y-axis at (0,3) and the x-axis at (6,0).

Front

What is the definition of y-intercept?

Back

The y-intercept is where the graph crosses the y-axis.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert from standard form to slope-intercept form?

Back

Solve for y in the equation Ax + By = C to get y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the x-intercept?

Back

The x-intercept is where the graph crosses the x-axis.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

What is the significance of the coefficients A, B, and C in the standard form Ax + By = C?

Back

A and B determine the slope of the line, while C represents the line's position relative to the axes.