Question

Please show your work on this​

Answer 1

Step-by-step explanation:

we see 2 confirmed points with whole integers as coordinates.

(-2, -1) and (1, 2)

the general equation for a line is

y = ax + b

a is the slope expressed as y/x ratio indicating how many units y changes , when x changes for a certain amount of units when going from one point to another.

so, when going from (-2, -1) to (1, 2)

x changes by +3 units (from -2 to 1)

y changes by +3 units (from -1 to 2)

so, the slope (a) is 3/3 = 1

b is the y-intercept (the y value when x=0, so, the point where the line crosses the y-axis).

our equation looks now like this

y = x + b

to get b we use the coordinates of one of the points as x and y. e.g. (1, 2) :

2 = 1 + b

b = 1

the full equation is

y = x + 1