Standard Form :)

Front

What are the x- and y-intercepts of a linear equation?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is the point where the graph crosses the y-axis (x=0).

Front

How do you find the x-intercept of the equation 4x - 5y = 40?

Back

To find the x-intercept, set y=0 and solve for x. For 4x - 5(0) = 40, x = 10.

Front

How do you find the y-intercept of the equation 4x - 5y = 40?

Back

To find the y-intercept, set x=0 and solve for y. For 4(0) - 5y = 40, y = -8.

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

Convert the equation 4x - 8y = 72 to slope-intercept form.

Back

Rearranging gives y = 1/2x - 9.

Front

What is the slope of the line represented by the equation 4x - 8y = 72?

Back

The slope is 1/2.

Front

How do you determine the solution to a system of equations graphically?

Back

The solution is the point where the two lines intersect on the graph.

Front

What does the solution (-3, -8) represent in a system of equations?

Back

It represents the point where the two lines intersect, indicating the values of x and y that satisfy both equations.

Front

How do you graph the equation 2x + y = 6?

Back

Find the x-intercept (3,0) and y-intercept (0,6), then plot these points and draw a line through them.

Front

What is the significance of intercepts in graphing linear equations?

Back

Intercepts help to quickly identify points on the graph and understand the behavior of the line.