Answer:
no solution
Step-by-step explanation:
Subtract 7 from both sides of the inequality:
|x| +7 -7 < 4 -7
|x| < -3
This has <u>no solution</u>, because an absolute value cannot be negative.
The easiest way is to graph it based upon the slope (m) and y-intercept (b), in the standard slope-intercept form: y = m (x) + b.
The line above intercepts the y-axis at y = -2, which is b. The slope (m) = rise/run = (y2-y1)/(x2-x1 ); so for the point (-4, 2) to (-6, 4) is:
(4-2)/(-6--4) = 2/(-6+4) = 2/-2 = -1.
So one form of the equation would be:
y = -1x - 2
Now the other form of an equation is point-slope: y-k = m (x-h), where the point is at (h, k)
and if we pick -5 for x (bc 5 it listed in 3 of the answers), the y at x=-5 looks like around +3
so we get: y-k = -1 (x--5)...
y-3 = -(x+5)... therefore D) is the correct answer:
Answer:
-9.85
Step-by-step explanation:
-15.5 - 4.2 = -19.7
Negatives work like positives
19.7 / 2 = 9.85
Turn that into a negative
-9.85
Answer:
The equation of the line is
, that passes through points 
Step-by-step explanation:
Given points are 
We need to write the equation of the line that passes through these points
First, we will find slope of this line

So, our slope is
. Now, we will plug the point
in the equation below.

So, the equation of the line is
.