Answer:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
The slope between (1, 8) and (2, 6) is:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).
8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10
Answer:
Slope intercept form is y=mx+b
Let’s first find the slope, which is y2-y1/x2-x1
Let’s make the point (-2,-5) our x1 and y1 and let’s make the point (3,5) our x2 and y2.
5+5/3+2
10/5
2 = slope
So far, our equation is looking like this:
y=2x + b
To find the y-intercept (b), let’s plug in one of the points.
Let’s use the point (3,5)
(5)=2(3) + b
5=6 + b
What adds to 6 to equal 5? -1
So, our y-intercept is going to be -1
Finally, our equation is going to look like this:
y=2x-1
Hope I helped!
Step-by-step explanation:
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