Question

the points (10,13) and (14,19) fall on a particular line. What is its equation in slope intercept form?​

Answer 1

y=3/2x-2

Explanation:

The question asks for slope intercept form, which y=mx+b (m is the slope, b is the y intercept)

first, let's find the slope of the line

use this formula: (y2-y1)/(x2-x1)

here are the points: (10,13) and (14,19)

let's label the points

x1=10

y1=13

x2=14

y2=19

now substitute into the equation

m=(19-13)/(14-10)

m=6/4

m=3/2

the slope is 3/2

Now let's use the point slope form equation which is y-y1=m(x-x1)

substitute the point and slope into the equation

y-13=3/2(x-10)

do distributive prop

y-13=3/2x-15

add 13 to both sides

y=3/2x-2

The line is y=3/2x-2

hope this helps!