Question

Which is an equation in slope-intercept form for the line passing through (5, 1) and (–4, 7).

Answer 1

@d3Xter

Answer 2

Given the linear equation 3x + y = 5, find the slope of its graph.

A.
3

B.
–5

C.
–3

D.
5

Answer 3

arrange your equation in the point-slope eqn form

y = mx + b

Now what is m from your result?

Answer 4

are you talking about the first question or the second question

Answer 5

the second

Answer 6

well when I first did it I Thought maybe it was -3

Answer 7

And, the correct expression is slope-intercept eqn. sorry

Answer 8

yeah you're right! let's rearrange that

y = -3x + 5

so m = -3 = slope

Answer 9

and b = 5 = intercept

Answer 10

so what about the first one

Answer 11

we still making use of the slope-intercept eqn here, but first we'll find the slope m\[m = \frac{ rise }{ run } = \frac{ y - y_{1} }{ x - x _{1}}\]

Answer 12

Are you familiar with that equation?

Answer 13

ya I think its y=2/3x+13/3

Answer 14

hold on, let me check that.

Answer 15

I think it is at least similar to that

Answer 16

\[m = \frac{ 7 - 1}{ -4 -5} = -\frac{ 6 }{ 9 } = -\frac{ 2 }{ 3 }\]

Answer 17

then our eqn becomes
\[y = -\frac{ 2 }{ 3 }x + b\]

Answer 18

is it possible b=13/3

Answer 19

using the equation

y = y1 + m(x - x1) let's see!

we'll use the first coordinate (5, 1) -> (x1,y1)
\[y = 1 - \frac{ 2 }{ 3 }(x -5) = 1 - \frac{ 2 }{ 3 }x + \frac{ 10 }{ 3 } \rightarrow -\frac{ 2 }{ 3 }x + \frac{ 13 }{ 3 }\]

Answer 20

So, yeah. We're right! :)