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Answer:
y=12x - 192
Step-by-step explanation:
Hi there!
We are given the points (16,0) and (17, 12)
We want to write the equation of the line that contains these points in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope
The slope (m) can be found using the formula , where
and
are points
We have 2 points, which is what we need to find the slope, but let's label their values to help avoid confusion and mistakes
Now let's plug these values into the formula to find the slope
m=
m=
Subtract
m=
Divide
m = 12
The slope of the line is 12.
Let's substitute that as m in y=mx+b.
Here is our equation so far:
y=12x + b
Now we need to find b
As the equation passes through the points (16,0) and (17, 12), we can use either one of them to solve for b.
Using (16,0) for example:
Substitute 16 as x and 0 as y.
0 = 12(16) + b
Multiply
0 = 192 + b
Subtract 192 from both sides
-192 = b
Substitute -192 as b in the equation
y = 12x - 192
Hope this helps!
Topic: finding the equation of the line
See more on this topic here: brainly.com/question/27568529