Solve the system of equations using elimination. 2x + y = 9 8x – 2y = 6
1 answer:
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Answer:
y=-4x-3
Step-by-step explanation:
Hi there!
We are given the following two points: (-2,5) and (-1,1)
We want to write the equation of the line that passes through these two lines 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, let's find the slope
The formula for the slope (m) calculated from 2 points is , where
and
are points
We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion
Now substitute into the formula
m=
m=
Simplify
m=
Subtract
m=
Divide
m=-4
Now substitute -4 as m into the equation:
y=-4x+b
Now we need to find b
As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.
Taking (-2,5) for example:
Substitute -2 as x and 5 as y:
5=-4(-2)+b
Multiply
5=8+b
Subtract 8 from both sides
-3=b
Substitute -3 as b.
y=-4x-3
Hope this helps!
See more on this topic here: brainly.com/question/27304092