Question

Can someone help me please asap

Answer 1

Answer:

the slope is 1/3

the y-intercept is at (0,3)

y = 1/3×x + 3

Step-by-step explanation:

a line has the equation

y = a×x + b

the 2 points we were given as being in the line allow us to define now 2 equations to solve for the 2 variables a and b :

3 = a×0 + b => b = 3

2 = a×-3 + b

=> 2 = a×-3 + 3

-1 = a×-3

1 = a×3

a = 1/3

so, our equation is

y = 1/3×x + 3

the slope or incline of the line is expressed by the y/x ratio or simply a, the factor of x. and that is 1/3.

it is positive, as the line goes up (looking from left to right).

and it means that the value of x has to increase by 3 units, so that y increases by 1 unit.

the y-intercept is the point with x=0. so, that is the already predefined point (0,3).