Write in slope-intercept form the equation of the line that passes through the given points. (2,1) and (0,7)

y = -3x + 7

Step-by-step explanation:

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given two points

( 2 , 1) ( 0 , 7)

x1 = 2

y1 = 1

x2 = 0

y2 = 7

m = 7 - 1 / 0 - 2

= 6 / -2

= -3

Step 2 : using the point slope equation

y - y1 = m( x - x1)

( 0 ,7)

x1 = 0

y1 = 7

y - 7 = -3( x - 0)

Step3: using a slope intercept form equation

y = mx + c

y - 7 = -3x + 0

y = -3x + 0 + 7

y = -3x + 7

The equation of the line in slope intercept form is

y = -3x + 7