Identify the equation in slope-intercept form for the line containing the points (−4,1) and (2,3).

y = 1x/3 + 1/3

Step-by-step explanation:

First find the slope

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

We are given two points

( -4 , 1) ( 2 , 3)

x_1 = -4

y_1 = 1

x_2 = 2

y_2 = 3

Insert your values

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

m = ( 3 - 1) / ( 2 - (-4)

= 2/ 2 + 4

= 2 / 6

= 1/3

Step 2

y - y_1 = m(x - x_1)

y_1 = 1

x_1 = -4

m = 1/3

y - 1 = 1/3( x - (-4)

y - 1 = 1/3 (x + 4)( point slope form)

Open the bracket

y - 1 =( x + 4 )/ 3

y = (x + 4)/3 - 1

LCM = 3

y = (x + 4 - 3) / 3

y = (x + 1)/ 3

We can still separate

y = x/3 + 1/3

Following the equation of slope- intercept form

y = x/3 + 1/3(slope - intercept form)

y = 1x/3 + 1/3

answer: sensy

step-by-step explanation: