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Answer:

C.  y = 2/3 x - 2.

Step-by-step explanation:

The general form of the slope-intercept equation of a line is y = mx + c where m = the slope and  (0. c) is the y-intercept.

We are given that the slope = 2/3 and the y intercept is at (0,-2) so our equation is y = 2/3 x - 2.

Answer:

Choice C is correct answer.

Step-by-step explanation:

Equation of line in slope-intercept form is:

y=mx+c where m is slope of line and c is y-intercept.

Slope is defined as steepness of a line and also called gradient.

y-intercept is a point on the line where value of x is zero.

From question statement ,we observe that

slope=m= 2/3

y-intercept at (0,-2) which means c=-2.

Putting the value of slope and y-intercept in slope-intercept form,we get

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

y=2/3x-2 which is the answer.


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