What coordinate plane shows the graph of 3x+y>9 ?
1 answer:
Answer:
(d) see attached
Step-by-step explanation:
All of the answer choices show shading above a dashed line, so we need to look a little closer at the equation of the boundary line. Written as an equation, it is ...
3x +y = 9
When you set each variable to zero and solve for the other, you find the intercepts to be ...
y = 0, x-intercept: 3x = 9 ⇒ x = 3
x = 0, y-intercept: y = 9
The only graph that has x- and y-intercepts matching these values is the one attached.
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Y=mx+b
lines are parallels so m=2
y=2x+b
line passing through the point (4,2), so x=4 y=2
put these value in equation
2=2*4+b
2=8+b
b=2-8
b=-6
y=2x-6
Answer: y=2x-6
(verification on the picture)
lines are parallels so m=2
y=2x+b
line passing through the point (4,2), so x=4 y=2
put these value in equation
2=2*4+b
2=8+b
b=2-8
b=-6
y=2x-6
Answer: y=2x-6
(verification on the picture)