Question

A line passes through the point (3,3) and is parallel to the line given by the equation Y=-2/3x - 2

Answer 1

Answer:

B. $y=-\frac{2}{3}x+5$

Step-by-step explanation:

Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)

Parallel lines have the same slope.

So that means that the line will have the slope $-\frac{2}{3}$.

So we can write the equation of the line as y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y by doing:

$y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5$

Now we know the y intercept (b) we can write the equation of the line.

$y=-\frac{2}{3}x+5$