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Sagot :
Answer:
A
Step-by-step explanation:
we can find out by writing its equation;
9-(-3) / (14-4) = 12 / 10 = 6 / 5
so its equation gonna be y = 6/5x - 7.8
.
now we can grid in the answer choices:
-9 = -6/5 -7.8 so (-1 , -9) is the correct answer
.
ANSWER= a) & c)
First what you can do is find the eq of the line where you need the slope(m) and a point on the line
To find slope (m)
(Y2-y1)/(x2-x1)
(4,-3)=(x1,y1)
(14,9)=(x2,y2)
(9-(-3))/(14-4)
=(9+3)/10
=12/10
m=1.2
Sub this information into the formula
y-y1=m(x-x1)
y-(-3)=1.2(x-4)
y+3= 1.2x -4.8
y=1.2x -7.8
Now sub each point a - d into this to see if they are true
y=1.2x -7.8
a.(-1,-9)
-9=1.2(-1)-7.8
-9=-1.2-7.8
-9=-9
TRUE -POINT IS ON LINE
b.(-2,-8)
-8=1.2(-2)-7.8
-8=-2.3-7.8
-8=-10.1
NOT TRUE -POINT ISNT ON LINE
c.(29,27)
27=1.2(29)-7.8
27=34.8-7.8
27=27
TRUE -POINT IS ON LINE
d.(28,18)
18=1.2(28)-7.8
18=33.6-7.8
18=25.8
NOT TRUE -POINT ISNT ON LINE
ANSWER= a) & c)
First what you can do is find the eq of the line where you need the slope(m) and a point on the line
To find slope (m)
(Y2-y1)/(x2-x1)
(4,-3)=(x1,y1)
(14,9)=(x2,y2)
(9-(-3))/(14-4)
=(9+3)/10
=12/10
m=1.2
Sub this information into the formula
y-y1=m(x-x1)
y-(-3)=1.2(x-4)
y+3= 1.2x -4.8
y=1.2x -7.8
Now sub each point a - d into this to see if they are true
y=1.2x -7.8
a.(-1,-9)
-9=1.2(-1)-7.8
-9=-1.2-7.8
-9=-9
TRUE -POINT IS ON LINE
b.(-2,-8)
-8=1.2(-2)-7.8
-8=-2.3-7.8
-8=-10.1
NOT TRUE -POINT ISNT ON LINE
c.(29,27)
27=1.2(29)-7.8
27=34.8-7.8
27=27
TRUE -POINT IS ON LINE
d.(28,18)
18=1.2(28)-7.8
18=33.6-7.8
18=25.8
NOT TRUE -POINT ISNT ON LINE
ANSWER= a) & c)
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