Find an equation of the line passing through each of the following pairs of points (−3, 1), (0, 3)

y = 2/3x + 3

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(3 - 1) / (0 + 3)

= 2/3

So, the slope is 2/3

Plug this and another point into y = mx + b to find b:

y = mx + b

3 = 2/3(0) + b

3 = b

Then, plug b and the slope into y = mx + b

y = 2/3x + 3 is the equation of the line

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.