SOLUTION: If possible please explain how you come up with each step.Thanks Find the equation, in slope-intercept form, of the line that passes through the points (5, 6) and (-7, 3).Than

Question 107812: If possible please explain how you come up with each step.Thanks
Find the equation, in slope-intercept form, of the line that passes through the points (5, 6) and (-7, 3).Thanks
Found 3 solutions by checkley71, MathLover1, josmiceli:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
SLOPE=(Y2-Y1)/(X2-X1)
SLOPE=(3-6)/(-7-5)
SLOPE=-3/-12
SLOPE=1/4 ANSWER.
NOW SUBSTITUTE ONE SET OF (X,Y) VALUES IN THE LINE EQUATUION Y=mX+b & SOLVE FOR THE Y INTERCEPT (b).
6=1/4*5+b
6=5/4+b
b=6-5/4
b=(24-5)/4
b=19/4 THIS IS THE Y INTERCEPT.
THE EQUATION IS:
Y=X/4+19/4
(graph 300x200 pixels, x from -20 to 5, y from -10 to 10, y = x/4 +19/4).
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: FIND EQUATION of straight line given 2 points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (5, 6) and (x2, y2) = (-7, 3).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(0.25)x + (4.75)

Your graph:

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The slope intercept form is
m is the slope, b is the y-intercept
Each point is a solution to the equation
(5,6)

(-7,3)

now solve for m and b
multiply the 2nd equation by -1 and add to the 1st

add to

Now find b, by substitution in either equation-I'll use 1st

multiply both sides by 4

So, the equation is
Check answer by seeing if it goes through both points

OK
also

OK
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