Answer:
10.) y = [tex]\frac{-1}{4}[/tex]x + [tex]\frac{17}{4}[/tex] 11.) y = 3x + 7
Step-by-step explanation:
10.) when given, slope, and a point you can use the equation y=mx+b to solve for "b" as your unknown. so, you substitute everything that you do know y = 4. x = 1. m = -1/4.
y=mx+b becomes 4 = [tex]\frac{-1}{4}[/tex](1) + b
4 = -1/4 +b
add the 1/4th to both sides to isolate b.
you end up with an answer of, 4[tex]\frac{1}{4}[/tex] which equals [tex]\frac{17}{4}[/tex]
so you end up with b = [tex]\frac{17}{4}[/tex]
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11.) Do the same thing with the other problem.
you know m = 3. x = -1 and y = -4
substitute what you know now.
y = mx+b becomes -4 = 3(-1) + b
add -3 to both sides to isolate b
then you end up with an answer of
b = 7
