Answer:
y = -5x + 7
Step-by-step explanation:
Hi there!
We are given the line y=-5x+4
We want to write an equation of the line that passes through the point (1, 2) and is parallel to y = -5x + 4
Parallel lines have the same slope, so let's first find the slope of y = -5x + 4
The equation is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
In this case, -5 is in the place of where m is, so the slope of the line must be -5
It is also the slope of our new line that we are trying to find
As we now know the slope of this line, we can substitute that in as m in y=mx+b
Replace m with -5:
y = -5x + b
Now we need to find b
As the line passes through the point (1, 2), we can use it to help solve for b
Substitute 1 as x and 2 as y.
2 = -5(1) + b
Multiply
2 = -5 + b
Add 5 to both sides
7 = b
Substitute 7 as b into the equation
y = -5x + 7
Hope this helps!
Topic: finding parallel lines
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