which point lies on the line with a slope of m= 7 that passes through the point (2, 3)
step 1
Find the equation of the line in point slope form
y-y1=m(x-x1)
we have
m=7
(x1,y1)=(2,3)
substitute
y-3=7(x-2)
REmember that
If a point lies on the line, then the point must satisfy the equation
Verify each point
1) (10,3)
For x=10 and y=3
substitute in the equation
3-3=7(10-2)
3-3=56
0=56 ------> is not true
that means, the point not lies on the line
2) (4,-3)
For x=4, y=-3
-3-3=7(4-2)
-6=42 -----> is not true
3) (3,10)
x=3, y=10
10-3=7(3-2)
7=7 -----> is true
the point lies on the line
therefore
answer (3,10)
