Systems of Equations Graphing method

the solution for the system is (2, 5)

Graph to find a solution y = -x + 7 y = 2x + 1

The solution of a system

a point where the lines intersect.

ordered pair

a solution to a system of equations

y-intercept

b

the solution is (3, 0)

graph 2x + 2y = 6 4x - 6y = 12

the solution is (6, 3)

graph to find a solution y = 2/3 x - 1 y = - 1/2 x + 6

slope

m

2 units down and then 3 units to the right

to graph equation y = -2/3x - 4, I move ______ from y-intercept

y-intercept (0, -4)

to graph equation y = -2/3x - 4, I start with______

2 units up and then 3 units to the right

to graph equation y = 2/3x + 4, I move ______ from y-intercept

y-intercept (0, 4)

to graph equation y = 2/3x + 4, I start with

3 units down and 1 unit to the left

to graph equation y = 3x + 7, I move ___________ from y-intercept

y-intercept (0, 7)

to graph equation y = 3x + 7, I start with ______

slope-intercept form of a linear equation

y = mx + b

a point on the y-axis

y-intercept

(0, -7)

y-intercept of the equation y = 4x - 7