In order to graph an equation, you must first plot the y intercept (the “b” in y=mx+b), and go from there. I’ll help you with a few! :)
1) take a look at the y intercept -3. Start at the origin, (0,0) aka the middle of the graph. Plot a point three units down, (0,-3). Now, take the slope, 2/1. Think of the slope as rise/run, so make your second point at (1,-1) (2 up, 1 to the right from your y intercept). Draw a line through the two points, (0,-3) and (1,-1).
5) for this one, we have to solve for y. Subtract x from both sides of the equation to get y=-x+4. Let’s plot the y intercept like last time, at (0,4). Since the slope -1/1 is negative, we will go down 1, and 1 to the right from (0,4). Draw a line through the two points.
6) this problem does not have a slope. It only has a y intercept of 3. Since it does not have a slope, the line is flat. So, draw a straight, horizontal line through (0,3). This means that x has infinitely many solutions, but y will always be 3.
Extra tip: My old math teacher was a volleyball coach. Here’s something she shared with us to remember how to graph negative versus positive slopes. At practice, we’d walk up and down a hill to work our muscles. On the way up, we’re working our muscles, strengthening our bodies, so it’s considered positive. From left to right, the slope of the hill goes up and it is positive. On the way down, your muscles are resting, and the girls are most likely gossiping, so it is considered negative. From left to right, the slope goes down, and it is negative.
So for order of operations you start inside the parentheses and in order to add the insides you will need a common denominator which would be 15 on the bottom. So for 2/5 it would be 6/15 and for 11/3 would be 55/15 and then added together it would be 61/15. so then you would multiply and get 15(61/15). the 15 in the numerator will cancel with the denominator leaving only 61 and then the final step would be adding the 3 to 61 and the final answer will be 64
