Answer:
You have to find the slope first. Which is y1-y1 divided by x1-x2
Then you find the y-intercept which you take the slope for m like for example if you find the slope, 2, then the equation should be y=2x+b. You take the coordinates on the problem and put them on the y or x on the equation. Then when you find the y-intercept you add it to the equation like for the example that I used above, you have to put the y-intercept on b. So if the y-intercept is 5 then the equation would be y=2x+5.
Answer:
<DAB = 120
Step-by-step explanation:
7)
<DAB = ?
<DAB + <DCB = 180
so
16x + 8 + 8x + 4 = 180
24x + 12 = 180
24x = 168
x = 7
<DAB = 16(7) + 8 = 120
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
