I would greatly appreciate it if someone would please be kind enough to take the time and show me how to work these problems. Thank you very much

Solve by finding y and graph using the slope and y-intercept:

3x-y=1(My answer -y=3x+1)which is wrong
could not graph it.

x-y=3 (My Answer y=x-3) which is wrong
could not graph it

3x-8=y(My Answer -6x+2y=-16)
graph (0,8) (1,5) which is wrong

Use the point-slope from of an equation to write the following in slope intercept form:
m= 3/8 point: (3,5) (I did not try this one at all)

3x-y = 1

y = 3x - 1

x-y = 3
y = x - 3

3x-8 = y
y = 3x - 8

in each case, y=mx+b where m is the slope and b is the y-intercept.

now that you have the y-intercept, the x-intercept is where y=0

On the first one,

y = 3x-1
0 = 3x-1
x = 1/3

so, plot (0,-1) and (1/3,0) and draw a line between them.

Similarly for the others. just get the x-intercept and draw a line between the intercepts.

Sure! I'll walk you through each of the problems and show you how to solve them step by step.

1. Solve by finding y and graph using the slope and y-intercept:

The equation given is: 3x - y = 1.

To find y, let's rearrange the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept:

3x - y = 1
-y = -3x + 1
y = 3x - 1

Now we have the equation in slope-intercept form: y = 3x - 1.

To graph the equation, we need to determine the slope and y-intercept:

Slope (m) = 3
Y-intercept (b) = -1

Start by plotting the y-intercept, which is the point (0, -1). Then, use the slope to determine the next point on the line. The slope of 3 means for every 1 unit you go to the right, you go up 3 units. So starting from (0, -1), we can go 1 unit to the right and 3 units up to get the point (1, 2). Plot this point.

Now you have two points on the line, (0, -1) and (1, 2). Connect them with a straight line to graph the equation.

2. Solve by finding y and graph using the slope and y-intercept:

The equation given is: x - y = 3.

To find y, let's rearrange the equation in slope-intercept form (y = mx + b):

x - y = 3
-y = -x + 3
y = x - 3

The equation is now in slope-intercept form: y = x - 3.

To graph the equation, we need to determine the slope and y-intercept:

Slope (m) = 1
Y-intercept (b) = -3

Start by plotting the y-intercept, which is the point (0, -3). Then, use the slope to determine the next point on the line. The slope of 1 means for every 1 unit you go to the right, you go up 1 unit. So from (0, -3), we can go 1 unit to the right and 1 unit up to get the point (1, -2). Plot this point.

Now you have two points on the line, (0, -3) and (1, -2). Connect them with a straight line to graph the equation.

3. Solve by finding y:

The equation given is: 3x - 8 = y.

To find y, we don't need to rearrange the equation since it's already solved for y. The equation is: y = 3x - 8.

4. Graph the points (0, 8) and (1, 5):

To graph these points, simply plot the given coordinates on a graph. The first point is (0, 8), so plot a point at x = 0 and y = 8. The second point is (1, 5), so plot a point at x = 1 and y = 5. The two points can then be connected with a straight line.

5. Use the point-slope form of an equation to write in slope-intercept form:

The point-slope form of an equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

The given point is (3, 5) and the slope is 3/8.

Using the point-slope form, we can write the equation as:

y - 5 = (3/8)(x - 3)

To convert this to the slope-intercept form (y = mx + b), let's simplify the equation:

y - 5 = (3/8)x - (3/8)(3)
y - 5 = (3/8)x - 9/8
y = (3/8)x + (40/8) - (9/8)
y = (3/8)x + 31/8

The equation is now in the slope-intercept form: y = (3/8)x + 31/8.

I hope this helps! Let me know if you have any further questions.