How do you solve the system of equations y=-5/3x+1 and y=-1/3x-3 by graphing?

1 Answer
Jul 9, 2017

The two lines intersect at point (3, -4)

Explanation:

Given -

y=-5/3+1 --------------------- (1)
y=-1/3-3 ----------------------(2)

To fix a line we need two pieces of information
1) x-intercept and 2) y-intercept
1st equation
At x=0

y=-5/3(0)+1 =1
So (0, 1) is one point

At y=0

-5/3x+1=0
-5/3x=-1
x=-1xx-3/5=3/5
(3/5,0) is another point

Plot (0,1) and (3/5,0). You get the 1st line.

2nd equation

At x=0)

y=-1/3(0)-3=-3
(0,-3) is one point

At y=0

-1/3x-3=0
-1/3=3
x=3 xx (-3/1)=-9
(-9,0) is another point
Plot these two points (0,-3) and (-9,0)

The two lines intersect at point (3, -4)

enter image source here