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Answer: Choice A</h3>
Function 1 and the slope is -4/7
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Explanation:
The slope of y = mx+b is m, which is the number to the left of x.
For function 1
y = (-4/7)x - 4
the slope here is m = -4/7 = -0.57 approximately
Let's use the slope formula to find the slope of function 2 given by the table of values.
Pick any two rows from that table. I'll pick the first two rows.
m = (y2-y1)/(x2 - x1)
m = (0.8 - 2)/(2 - 0)
m = -0.60
Comparing -0.57 and -0.60, we see that -0.57 is closer to zero on the number line. Meaning that function 1 has the less steep slope (i.e. more shallow slope). The further you go away from zero on the number line, in either direction, the slope will get steeper.
The formula for point-slope form is y-a=m(x-c), where y and x are variables, a is simply one point in y, m is the slope, and c is simply one point in x. The first thing we can find is m, or the slope. This is found by dividing the change in y over the change in x. The equation for this is (I’ll plug the points in the equation)
Therefore, our answer is the bottom one as our slope is 1/4.
Feel free to ask further questions!
First isolate y by adding x to both sides in y-x=3 and getting y=x+3
Step 1: substitute x+3 for y in 3y=x+6 to get 3(x+3)=x+6
Step 2: distribute 3x+9=x+6
Step 3: subtract like terms 2x=-3
Step 4: divide x=-3/2
substitute -3/2 for x in y=x+3 to get
y=-3/2+3
y=3/2
answer: y=3/2 x=-3/2
You just multiply 6.4 by how many hours, and that’s your answer. So it’s 12.8 miles in 2 hours
