Question

Find an equation of the line that passes through the given points. (Let x be the independent variable and y be the dependent variable.) (3, 9) and (4, 14)

Answer 1

y=5x-6

Explanation:

Hello

let´s see , we have P1(3,9) and P2(4.14)

first let's find its slope

`m=(y2-y1)/(x2-x1)   = (14-9)/(4-3)`

`m=(5)/(1) \\m=5`

the slope is 5.

`y-y_(0) = m(x-x_(0) )\\\\using P1\\\\ y-9 = 5(x-3)\\\\y=5x-15+9\\\\y=5x-6`

where x is the independent variable and y is the dependent variable

Have a great day.