Answer: y=-3/1x+13
Step-by-step explanation: I just graphed the two points then found there slope and then I finished the line with the slope and then when I knew what was the y-intercept I finished the problem
Answer:
The measure of angle IJU is 20 degrees.
Step-by-step explanation:
In order to find that, we need to add the two angles together and set equal to 180 degrees. Then we can solve for x.
(3x - 7) + (17x + 7) = 180 ----> Combine like terms
20x = 180 -----> Divide by 20
x = 9
Now that we have this, we can stick the value into the equation and solve for IJU.
IJU = 3x - 7
IJU = 3(9) - 7
IJU = 27 - 7
IJU = 20
-x - y = 8
2x - y = -1
Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.
-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y
So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.
2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5
Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.
-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3
So our solution set is
(-3, -5)
That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.