Question

Can someone please help me with this?

Answer 1

-\[-\frac{ 1 }{ 4 }x + \frac{ 1 }{ 10 }y = \frac{ 2 }{ 5 }\]

Answer 2

ok

Answer 3

If you multiply both sides of the equation by the lowest common multiple of those denominators {4, 5, 10}, all those fractions will go away

Answer 4

The question wants me to match the equation to it's graph.

Here are the graphs

Answer 5

Isn't the LCM 20?

Answer 6

if you rearrange the equation to the form \[y = mx+b\]

you can compare the slope \(m\), and y-intercept \(b\) of the equation with those plots

Answer 7

yeah, multiply both sides of the equation by 20

Answer 8

So (20)-1/4x + (20)1/10y = (20)2/5

hold on im working it on paper

Answer 9

Let x = 0 , solve for y to get the point (0,y)
Let y = 0, Solve for x to get the point (x,0)

Those are the x and y axis intercepts

Answer 10

Or unkerhaukus way is fine too

Answer 11

Okay I got -5x + 2 = 8 by multiplying it all by 20

Answer 12

i think you mean\[-5x + 2y = 8\]

now can you arrange this into \(y=mx+b\) form?

Answer 13

If x=0, y = 20/5 or y=4
so
The point x = 0 y=4 is on the line, (0,4)

Now let y = 0 and solve for x to get the point (x,0)

Answer 14

ok hold on

Answer 15

If y = 0, you get

\[\frac{ -1 }{ 4 }x + 0 = \frac{ 2 }{ 5 }\]
solve for x

Answer 16

That is your second point(x-intercept) y=0, x=?
(x,0)

Answer 17

The only graphs with a point at (0,4) have 1.5 or -1.5 as the x

Answer 18

yes, which one of those works with the equation when y = 0?

(-1/4)x + 0 = 2/5

Answer 19

\[x = \frac{ 2 }{ 5 }*\frac{ -4 }{ 1 }\]

Answer 20

Graph 2 looks like it intersects the x-axis at -8/5 or about - 1.6

Answer 21

Just remember, if you need to choose a graph, the quickest way to do it, is just let x=0 and solve for y, then let y=0 and solve for x. Those 2 points (0 , y) and (x , 0) will define the line for you.