SOLUTION: find an equation for the line with the given properties. slope=-3/7, passes through (4, -7)

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Question 83793: find an equation for the line with the given properties.
slope=-3/7, passes through (4, -7)
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
Y=mX+b IS THE LINE EQUATION WHERE (m)=SLOPE & (b)=Y INTERCEPT.
SUBSTITUTING -3/7 FOR THE SLOPE(m) & THE VALUES FOR X=4 & Y=-7 WE NEED TO SOLVE FOR THE Y INTERCEPT(b).
-7=-3/7*4+b
-7=-12/7+b
b=-7+12/7
b=(-7*7+12)/7
b=(-49+12)/7
b=-37/7 OR -5 2/7 OR -5.2857 ANSWER FOR THE Y INTERCEPT.
PROOF IS THE FOLLOWING GRAPH.
+graph%28+300%2C+200%2C+-15%2C+5%2C+-10%2C+10%2C+y+=+-3x%2F7+-37%2F7%29+ (graph 300x200 pixels, x from -15 to 5, y from -10 to 10, y = -3x/7 -37/7).