Question

Write the equation of a line in slope-intercept form from the graph below.

Answer 1

we can see that the line is straight

so, we can select any two points

we have two points as

(0,1) and (2,-2)

we can use formula

`y=mx+b`

where m is slope

b is y-intercept

Calculation of slope:

we can use formula

`m=(y_2-y_1)/(x_2-x_1)`

we have points

(0,1) and (2,-2)

`m=(-2-1)/(2-0)`

`m=(-3)/(2)`

Calculation of intercept:

we are given

point as (0,1)

so, b=1

now, we can find equation

and we get

`y=(-3)/(2)x+1`............Answer