how do i rewrite these so i can graph them? 4x-y=2 x-y=-1
You got it!
yes i did (^-^)
was there some reason you could not plot points using the original equations?
Just pick x=0 and find y. pick y=0 and find x. draw a line through the two points.
x-y=-1 is the second problem if u couldnt tell
never mind i solved it
the answers r: y=4x-2
and:
y=x+1
i had to rewrite them as y=mx+b first, it was what the book told me 2 do
To rewrite these equations in a form that can be easily graphed, we need to solve each equation for y in terms of x.
Let's start with the first equation:
4x - y = 2
To isolate y, we can subtract 4x from both sides of the equation:
-y = -4x + 2
Next, multiply every term by -1 to reverse the sign:
y = 4x - 2
Now, the equation is in slope-intercept form (y = mx + b), where m is the slope (4) and b is the y-intercept (-2).
For the second equation:
x - y = -1
Let's isolate y by subtracting x from both sides:
-y = -x - 1
Again, multiply every term by -1 to reverse the sign:
y = x + 1
Now we have the equation in slope-intercept form, with m (the slope) being 1 and b (the y-intercept) being 1.
With both equations rewritten in slope-intercept form, y = mx + b, you can now easily graph them by:
1. Plotting the y-intercept:
For the equation y = 4x - 2, the y-intercept is -2, so you can plot the point (0, -2) on the graph.
For the equation y = x + 1, the y-intercept is 1, so you can plot the point (0, 1) on the graph.
2. Using the slope to find additional points:
For the equation y = 4x - 2, the slope is 4, so you can use the slope to find more points by moving 4 units up and 1 unit to the right (since the slope is rise over run). Connect these points to draw the line.
For the equation y = x + 1, the slope is 1, so you can move 1 unit up and 1 unit to the right to find more points. Connect these points to draw the line.
Once both lines are drawn, you will have graphed the equations 4x - y = 2 and x - y = -1.