6.4 ­ Standard Form
Standard Form of a Linear Equation: Ax + By = C
where A, B, and C are real numbers, and A and B are not equal to zero.
y­intercept:
x­intercept:
Ex. 1) Find the x­ and y­intercepts of 2x + 5y = 6
Ex. 2) Write y=2/3x + 6 in standard form using integers
Ex. 3) Graph 3x + 5y = 15
using intercepts.
Ex. 4) Graph y=4 and x=­3
Ex. 5) Using the table below, write the equation in standard form to find the number of hours you would need to work at mowing lawns and delivering newspapers to make a total of $130.
a) Write in standard form
b) Graph
c) Re­write in slope­intercept form
Job
Mowing lawns
Delivering papers
$ paid/hour
$12
$5