Answer:
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!