Answer:
Second Graph.
Explanation:
It's the only graph that is concave down and the slope is decreasing.
Answer:
The x-intercept would be 9 and the y-intercept would be -18/5
Step-by-step explanation:
In order to find this we need to first find the slope. To do that we use the two points and the slope equation.
m (slope) = (y2 - y1)/(x2 - x1)
m = (-2 - -6)/(4 - -6)
m = 4/10
m = 2/5
Now that we have the slope, we can use that and either point to find the equation of the line in standard form.
y - y1 = m(x - x1)
y + 6 = 2/5(x + 6)
y + 6 = 2/5x + 12/5
-2/5x + y + 6 = 12/5
-2/5x + y = -18/5
-2x + 5y = -18
Now that we have this, we can find the intercepts through using 0s. First, we put a zero in for y to find the x intercept.
-2x + 5y = -18
-2x + 5(0) = -18
-2x = -18
x = 9
Therefore the x intercept is 9.
We find the y-intercept by doing the opposite. We put a 0 in for x.
-2x + 5y = -18
-2(0) + 5y = -18
5y = -18
y = -18/5
12/2 = 6, so;
7x-1 = 6
7x = 7
x = 1
Because both sides are equal, you do the same for 2x+4
2x+4 = 6
2x = 2
x = 1
To make this easier to read, I'll be substituting 1/2 for .5; they mean the same thing, but it's less confusing to type it in its decimal form.
7x + .5 + 6x - 9.5
Combine like terms (x's can be added together, and so can reg. numbers)
(7x + 6x) + (.5 - 9.5)
13x - 9
13/5 or 2 3/5 by the way nice profile picture
