⦁a line goes through the points and . ⦁ what is the slope of the line? show your work ⦁ write the equation of the line in point-slope form. show your work ⦁ write the equation of the line in slope-intercept form. show your work. ⦁

(8,9) (-2,4)

remember m=y2-y1/x2-x1

(8,9) (-2,4)
x1,y1 x2,y2

m= 4-9= -5
-2-8= -10

slope is 1/2


slope intercept form:
y=mx+b

we know the slop is 1/2

y=1/2x+b

choose and point and plug in the x and y values into the equation

let's do (8,9)

9=1/2(8)+b
9=8/2+b
9=4+b
-4 -4

5=b

y=1/2x+5


point slope form:
y-y1 = m(x-x1)

choose any point

(8,9)
x1,y1

y-9= 1/2(x-8)

distribute

y-9= 1/2x-4
y-9= 0.5x-4
+9 +9
y=0.5x+5

point slope form is easier, use it as a beginner

You haven't gave us enough information to you!