Which is an equation in point-slope from for the given point and slope point (7,4)slope:6
pont slope from is y=mx+b where slope=m and b=y intercept
we are given that slope=6
subsiutte
y=6x+b
we are given the point (7,4)
(x,y)
so x=7
y=4 is one solution
subsitutute
4=6(7)+b
4=42+b
subtract 42 from both sides
-40=b
the equation is y=6x-40
Answer: y-4=6(x-7)
The formula for point slope form is:
\(y- y_{1} =m(x- x_{1})\)
where
m=slope
\(y_{1}=\) known y-coordinate
\(x_{1}=\) known x-coordinate
now lets input the information that we know into the equation. We know the slope is 6. Our known x coordinate is 7, and our known y coordinate is 4.
y-4=6(x-7)