Point 1 =(x1,y1)= (-2,-5)
Point 2 =(x2,y2)= (4,4)
Slope intercept form:
y=mx+b
Where
m= slope
b= y-intercept
Apply the slope formula:
[tex]m=\text{ }\frac{(y2-y1)}{(x2-x1)}[/tex]Replacing:
[tex]m=\text{ }\frac{4-(-5)}{4-(-2)}=\frac{4+5}{4+2}=\frac{9}{6}=\frac{3}{2}[/tex]So far:
y= 3/2x+b
replace x,y by the coordinates of 1 point (4,4), and solve for b:
4= 3/2(4)+b
4= 6+b
4-6 = b
-2 =b
Final expression:
y= 3/2x-2
