y=5x+3 is the equation of a line. The equation is in what is called slope intercept form.
The line hits the y axis at the point (0,3). From there you can go up 5 and to the right 1 to find another point. Or you can go down 5 and to the left 1.
No matter how you do it, you end up with a line with 5 intercept 5 and a positive slope.
The positive slope means it goes up from left to right.
Now you may ask what are the solutions to the equation? I understand the graph is a line, but I want to know which x and y "works."
Every point on the line is a solution. There is an infinite number of them since the line goes forever in both directions.
Finding them is not hard. You can pick any x you want and plug it in to the equation.
Say you pick x=1, then you have y=5(1)+3=8 so y is 8.
Many people make what is called a T table. They put values of x on the left and y values on the right.
5x+18 = 2x+9 5x-2x = 9-18 3x = -9 x = -3 and y = 3
x = -1.2, y = -3
If: x = 7 Then: y = (2*7)+3 = 17 And: 5x+y = (5*7)+17 = 52
-5x=3+y x=-1/5y-3/5
5
5x+18 = 2x+9 5x-2x = 9-18 3x = -9 x = -3 and y = 3
5x+8 = 10x+35x-10x = 3-8-5x = -5x = 1 and by substituting the value of x into the equations y = 13
x = -1.2, y = -3
If: x = 7 Then: y = (2*7)+3 = 17 And: 5x+y = (5*7)+17 = 52
-5x=3+y x=-1/5y-3/5
5
5x - y + 3 = 0can be rewritten as y = 5x + 3 and so the slope is the coefficient of x which is 5.
When 5x+3 = 17 then x = 2.8 Therefore when 8x-y = 3 then x = 2.8 and y = 19.4
(1, 0)
Yes.
(3, -4)
y = 5x + 3When x=2,y = 5(2) + 3 = 10 + 3 = 13