Answer:
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.
y=5/4x+9/4
Step-by-step explanation:
Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y=mx+b format.
Slope is equal to the change in y over the change in x , or rise over run.
m=(change in y)/(change in x)
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=(y2−y1)/(x2−x1)
Substitute in the values of x and y into the equation to find the slope.
m=1−(6)/−1−(3)
Finding the slope m.
m=5/4
Find the value of b
using the formula for the equation of a line.
b=9/4
Point slope is in the form y - y1 = m(x - x1)
substitute the values to get
y - 2 = m(x - -8), then simplify
y - 2 = m(x +8)
Given the definition of the absolute value function, there are two possibilities for the next step.
Rember that |x| = x when x is positive and |x| is - x when x is negative.
So, these are the two possibilities for |x - 2| = 4
1) When the content inside the absolute value is positive, you can state x - 2 = 4
2) When the content inside the absolute value is negative you can state x - 2 = - 4.
So, the answer is
x - 2 = 4 and x - 2 = - 4.
I found this list of choices for this question:
<span>a. x + 2 = −4
b. −x − 2 = 4
c. x + 2 = 4
d. x − 2 = −4
</span>
In that list , the only right is x - 2 = - 4, so choose it.
Answer: option d. x - 2 = - 4
