Mathematics: Write the equation of the line that passes through the points (-1,2) and (6,3) in slope intercept form

sup kid im urrr dadddyStep-by-step explanation:...

Write the equation of the line that passes through

straightbarz759

11.03.2022

$y =\frac{x}{7} +\frac{15}{7}$

Step-by-step explanation:

Given that the line passes through two points (-1,2) and (6,3)

Slope of the line passing through (x1,y1) and (x2,y2) is

$\frac{y2-y1}{x2-x1}$

Hence slope of our line =

(3-2)/(6+1) = 1/7

So in slope intercept form the equation would be

y = 1/7 x +C

to find C

Since (-1,2) lies on the line substitute these in the line equation

2 = 1/7(-1)+c

C = 2+1/7 = 15/7

Hence equation in slope intercept form is

$y =\frac{x}{7} +\frac{15}{7}$

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