Answer:
y=-3/2x+6
Step-by-step explanation:
You can find the slope by taking two points on the graph, and making the one that occurs earlier in the graph (from left to right) the first point (x1, y1) and the one that occurs later in the graph the second point (x2, y2). The equation is m (or slope)=(y2-y1)/(x2-x1). I took the first two points in the table for this. m=(12-18)/-4-(-8)
the double negative on the bottom becomes an addition=> (12-18)/(-4+8)
the top simplifies to be -6 and the bottom simplifies to 4=>-6/4
this fraction can be reduced to -3/2, which is the slope of the graph.
Now, use point slope form (y-y1=m(x-x1)) to find the equation of the graph. Plug any coordinate on the graph in for x1 and y1 here. It should be correct as long as it is a point on the graph, but I am using the point (-8, 18) here.
=>y-18=-3/2(x-(-8))
the double negative in the parentheses becomes a positive=> y-18=-3/2(x+8)
distribute the -3/2 to every term in the parentheses=> y-18=-3/2x-12
add 18 to both sides, cancelling out the -18 on the left side of the equation=>y=-3/2x+6 (-12+18=6 to get 6 for b).
Therefore, the equation is y=-3/2x+6
Answer:
x= 1/4 .....................
y=-1
Answer:
FG = 7
Step-by-step explanation:
5x+2+3x-1=9
8x+1=9
8x = 8
x = 1
FG = 5(1)+2 = 7
Answer:
edited:
She exhaled deeply, eyeing the brown clock vigilantly. One more hour of utter boredom and suffering. Her afterschool activity had been canceled last minute, meaning she had to wait to be picked up with nothing to do till it would have ended. She sat on a dirty and peeling maroon bench in the schoolyard, her back to the worn soccer pitch. Figuring she might as well find some way to pass the time before finally going home, she began to doodle in her orange and blue notebook.
Step-by-step explanation:
1. yes, they work together to set the scene by providing details to where she is and why. the sentences describe her emotions without making the paragraph boring.
2. for the most part, the reasoning for her being there afterschool could have been mentioned first but the way it is currently written makes sense regardless.
3. the writer could have included transitions to better connect the sentences. but overall, it is well written.