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1 answer:
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Answer:
y = 4x - 6
Step-by-step explanation:
Hi there!
We are given the points (3,6) and (1, -2), and that a line passes through these 2 points
We want to find the equation of said line
There are 3 ways to write the equation of the line:
- Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
- Standard form, which is ax+by=c, where a, b, and c are integer coefficients but a and b cannot be equal to 0, and a cannot be negative
- Slope-point form, which is
, where m is the slope and
is a point
The most common way is slope-intercept form, so let's write the equation of the line this way
First, we need to find the slope
The slope (m) can be found using the formula , where
&
are points
Before we calculate, let's label the values of the points.
Now substitute into the formula
m=
m=
Subtract
m=
Divide
m= 4
The slope of the line is 4
Substitute 4 as m in y=mx+b:
y = 4x + b
Now to find b
Since the equation passes through both (3,6) and (1, -2), we can use either point to help solve for b.
Taking (3,6) for example:
Substitute 3 as x and 6 as y.
6 = 4(3) + b
Multiply
6 = 12 + b
Subtract 12 from both sides
-6 = b
Substitute -6 as b into the equation
y = 4x - 6
Hope this helps!
Topic: finding the equation of the line
See more here: brainly.com/question/27618860