SOLUTION: Write an equation in standard form of the line that passes through the given point and has the given slope m. (4,3), m= 7 If possible please write step-by-step on how to determin

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Question 173752: Write an equation in standard form of the line that passes through the given point and has the given slope m.
(4,3), m= 7
If possible please write step-by-step on how to determine the answer please. Thank you.

Found 2 solutions by Mathtut, jojo14344:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
sure. I am sure you are aware of the point slope formula which states that
:
y-k=m(x-h) where m is the slope and (h,k) is any point on the line. That is what we will be using.
:
using our point of (4,3)....y-3=7(x-4). Now we want this in standard form which is Ax+By=C.
:
y-3=7x-28....distributing the right side
:
7x-y-28=-3...subtracting y from both sides
:
highlight%287x-y=25%29adding 28 to both sides

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

We find first the y-intercept--->b via Slope_intercept form:y=mx%2Bb
Thru points (4,3) with slope=m=7:
3=7%284%29%2Bb
3=28%2Bb------>b=3-28=-25
Therefore, it follows y=mx%2Bb----->y=7x-25
In standard form: transpose to the left & change sings :highlight%28-7x%2By%2B25=0%29
We'll see the graph:

Thank you,
Jojo