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Answer:
y=-2x+3
Step-by-step explanation:
Hi there!
We are given the point (4, -5) and we want to write the equation of the line that passes through that point and is parallel to the line y= -2x-4
Parallel lines have the same slope, but different y intercepts.
So let's find the slope of the line y=-2x-4
The line is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
As -2 is in the place of where m, the slope is, then -2 is the slope of the line. It is also the slope of the line parallel to it.
So let's write the equation of this new line in slope-intercept form. So far, we have:
y=-2x+b
So we need to find b
As the equation passes through the point (4, -5), we can substitute its values into the equation to solve for b
So substitute 4 as x and -5 as y in y=-2x+b
-5=-2(4)+b
Multiply
-5=-8+b
Add 8 to both sides
3=b
Substitute 3 as b in the equation
y=-2x+3
Hope this helps!