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Answer:
y = 3x + 10
Step-by-step explanation:
We are given that a line has the points (2, 16), and (-1, 7)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept, hence its name
First, we need to find the slope of the line
The slope can be found using the formula , where
and
are points
Let's label the values of the points before we calculate the slope
Now substitute into the formula (m is the slope)
m =
m=
Subtract
m=
Divide
m=3
The slope of the line is 3.
Here is the equation of our line so far:
y=3x+b
Now we need to find b
As the equation passes through the points (2,16) and (-1, 7), we can use either one of them to solve for b.
Taking (2,16) for example:
Substitute 2 as x and 16 as y.
16 = 3(2) + b
Multiply
16 = 6 + b
Subtract 6 from both sides
10 = b
Substitute 10 as b in the equation
y = 3x + 10
Topic: writing the equation of the line
See more: brainly.com/question/27726732