9514 1404 393
Answer:
y = -3/2x +11
Step-by-step explanation:
The slope of the parallel line is the same as the slope of the given line, so ...
m = -3/2
The y-intercept of the parallel line can be found from ...
b = y -mx
b = 5 -(-3/2)(4) = 11
So, the desired equation is ...
y = mx +b
y = -3/2x + 11
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Additional comment
Since you know the slope and a point on the desired line, you can write down the equation directly using the point-slope form. No additional math is required.
y -5 = -3/2(x -4)
