Please help, 20 points! :)

Step-by-step explanation:

We are given 4x+y=6x-1 to graph. The easiest way to graph is to turn this equation into slope-intercept form, which is y=mx+b.

First, we are going to subtract 4x from both sides to isolate the y variable which gets us y=2x-1, and now we have slope-intercept form. Now we're going to use what we know about the form to graph.

In such form, m is the slope and b is the y-intercept. Our b in our equation is -1, so you're going to put a dot at (0,-1) on the y-axis. Then for our slope, it is 2, but it's easier to envision as rise over run where 2 is how much we rise and 1 is how much we run (or move to the right). So from our starting point from the y-axis, we're going to move up 2 units and then to the right one unit. And with two dots on the graph, we can run a line through it which will give us our graphed line.

For safe measures, you can continue the pattern of rising 2 and running 1, or you can go down 2 and left 1, which is the opposite and yet still confines to the line.

If you don't understand this explanation, I also recommend checking out desmos! It's a graphing calculator online in which you can plug this equation in and it graphs it for you! The file I have attached to this is from desmos to help you see the graph, I hope you do well!

To solve this problem we will have to convert 4x + y = 6x - 1 to point - slope form, for simplicity --- ( 1 )

4x + y = 6x - 1,

- 2x + y = - 1,

Point - Slope Form : y = 2x - 1

Now let's graph this equation. Consider the x - intercept and y - intercept of this graph --- ( 2 )

0 = 2x - 1

2x = 1

x = 1 / 2 = 0.5 ( x - intercept ),

y = 2(0) - 1 = 0 - 1 = - 1 ( y - intercept )

We know that the x - intercept is 0.5, so we can plot the point (0, 0.5). Similarly we can plot the point ( - 1,0 ) given the y - intercept is - 1. After plotting these points we can run a line through them, creating our graph.

step-by-step explanation:

if x = 2 you have to find x to finish the problem

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.