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andreev551 [17]
3 years ago
9

Help, I really need help and I've been stuck on this one ^^^

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0

Hey there! :)

Let's put all of our facts down first. We know that slope-intercept form is y=mx+b , where m=slope & b is the y-intercept.

So, if we're given the slope and y-intercept, then we can very simply plug those values into slope-intercept form!

Our slope is 4 and our points are (0, -1).

y = mx + by = (4)x + (-1)

Get rid of our parenthesis.y = 4x - 1

So, our equation of the line that passes through (0, -1) and has a slope of 4 is y = 4x - 1

~Hope I helped!~

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\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 =  \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 =   \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6

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