Question

A line has slope 2/3 and y–intercept −2. Which answer is the equation of the line?

a) y=−2x+23

b) y=2x+23

c) y=23x+2

d) y=23x−2

Answer 1

Well assuming in choice D that "23x" is meant to be (2/3)x then D would be the correct answer.

Answer 2

d if we change it.

Explanation:

the equation of a line is y=mx+b where m is the slope and b is the y-intercept.

So, if we want to find the equation of a line that has slope 2/3 and y-intercept in -2, we can replace the values in the equation. In this case we have that m = 2/3 and b = -2. Then,

y = mx+b

y = (2/3)x+(-2)

y = (2/3)x-2.

None of the options are correct, but if we change in the option d the 23 to 2/3 the option d would be the correct one.