Answer :
You have the equation 7x+y=5
But you must rearrange this into y=mx+b form
to do this subtract 7x from both sides
y= -7x+5
On the y axis plot a dot on 5 because that is the y intercept.
To find the x intercept let y=0
0= -7x+5
1. Subtract 5 to both sides
-5=-7x
2. Divide by -7 to both sides
x= -5/-7
x=5/7
The x intercept is 5/7, so on the x axis mark a dot on 5/7 which is approximately at 0.7
Once you have marked one dot on the y axis at 5 and another dot on the x-axis at 0.7 then you draw a straight line through these points and you have graphed the function 7x+y=5
But you must rearrange this into y=mx+b form
to do this subtract 7x from both sides
y= -7x+5
On the y axis plot a dot on 5 because that is the y intercept.
To find the x intercept let y=0
0= -7x+5
1. Subtract 5 to both sides
-5=-7x
2. Divide by -7 to both sides
x= -5/-7
x=5/7
The x intercept is 5/7, so on the x axis mark a dot on 5/7 which is approximately at 0.7
Once you have marked one dot on the y axis at 5 and another dot on the x-axis at 0.7 then you draw a straight line through these points and you have graphed the function 7x+y=5
To graph an equation, you first need to solve it for y. This means turning the equation into this form: Y=.......
For your equation, once you solve it for Y, you get this:
[tex]y = -7x +5[/tex]
Now, the coefficient of X is a very crucial part of graphing an equation. Once the equation is solved for Y, the coefficient of X is going to be the slope of the line you are graphing. The slope of a line is how much Y goes up every time X is increased by 1.
To graph an equation, you need to put in a number for X and find the matching value for Y and then graph that point. To do this, you will need a coordinate plane. I can't show you what that looks like on here. But, I will do my best to explain how it is done.
Now, for your equation:
[tex]y = -7x +5[/tex]
Simply chose a number for X and find the matching value for Y. I'll try 0 for an example:
[tex]y = -7(0) +5[/tex]
-7 * 0 is 0. Therefore, your new equation looks like this:
[tex]y =+5[/tex]
Therefore, one "Solution pair" to this equation is (X=0,Y=5)
Simply repeat this process and plot the solution pairs on the coordinate plane and then connect the dots.
For your equation, once you solve it for Y, you get this:
[tex]y = -7x +5[/tex]
Now, the coefficient of X is a very crucial part of graphing an equation. Once the equation is solved for Y, the coefficient of X is going to be the slope of the line you are graphing. The slope of a line is how much Y goes up every time X is increased by 1.
To graph an equation, you need to put in a number for X and find the matching value for Y and then graph that point. To do this, you will need a coordinate plane. I can't show you what that looks like on here. But, I will do my best to explain how it is done.
Now, for your equation:
[tex]y = -7x +5[/tex]
Simply chose a number for X and find the matching value for Y. I'll try 0 for an example:
[tex]y = -7(0) +5[/tex]
-7 * 0 is 0. Therefore, your new equation looks like this:
[tex]y =+5[/tex]
Therefore, one "Solution pair" to this equation is (X=0,Y=5)
Simply repeat this process and plot the solution pairs on the coordinate plane and then connect the dots.
