Answer:
y = -1/2x - 1
Step-by-step explanation:
Hi there!
We are given the equation y = -1/2x - 5
We want to write an equation parallel to this line, that passes through the point (4, -3)
Parallel lines have the same slope
In y=-1/2x-5, the equation is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
-1/2 is in the place of where m is, therefore it is the slope of the line
It is also the slope of the new line that we want to create.
As we already know the slope of this new line, we can substitute it into our equation (y=mx+b):
y=-1/2x+b
Now we need to solve for b
As the equation passes through the point (4, -3), we can use its values to help solve for b
Substitute 4 as x and -3 as y:
-3 = -1/2(4)+b
Multiply
-3 = -2+b
Add 2 to both sides
-1 = b
Now substitute -1 as b into the equation
y = -1/2x -1
Hope this helps!
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