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Mathematics 15 Online
Falconmaster:

Which table corresponds to the graph above?

Falconmaster:

1 attachment
Falconmaster:

SkyVoltage43:

marc you got this or need help?

MARC:

Step 1 : Find two points on a line in the graph let say,I choose two coordinates which are \((x_1,y_1)=(-3,4)\) and \((x_2,y_2)=(0,-5)\) http://prntscr.com/jg41wl Step 2 : Find the gradient of the line using those two points \(slope,m=\frac{y_2-y_1}{x_2-x_1}\) sub. those values into the formula of gradient \(m=\frac{-5-4}{0-(-3)}\) \(m=\frac{-9}{3}\) \(m=-3\) Step 3: use the slope intercept form to find c \(y=mx+\color{red}{c}\) where \(m=slope\) \(c=y-intercept\) Use any of those two points and slope to find c let say,we choose\((x,y)=(0,-5)\) \(-5=-3(0)+c\) \(c=-5\) Rearrange the eqn \(y=-3x-5\) Step 4: Sub. those values of x into that eqn to find y If the y values u find are the same as the values of y in the table,therefore,that's the answer

SkyVoltage43:

seems like you got this covered let me know if you need help mkay

MARC:

sorry,I was busy typing,haha... sure @SkyVoltage43 ;)

SkyVoltage43:

.

Falconmaster:

so i do that for each one?

MARC:

As u can see that,the y-intercept of the eqn is \(-5\) so,option A and B will be crossed out so,we r left with option C and D

MARC:

When u try to observe,option C and D, almost all of the coordinates are the same except the last coordinate http://prntscr.com/jg4dz9

Falconmaster:

Okay

Falconmaster:

i cant see pnt rn

MARC:

Option C- \((x,y)=(1,-8)\) Option D- \((x,y)=(1,-7)\) In order,to find the correct coordinate,use that eqn \(y=-3x-5\) and sub the value of \(x=1\) into that eqn to find the value of y \(y=-3(1)-5\) \(y=-8\)

MARC:

i cant see pnt rn It's okay. Based on the print screen,Im trying to tell u that Option C and D almost hv same values except for the last value at the right which I already wrote (above this comment) ^^

Falconmaster:

Okay because im dull and i saw -8 i think its c

MARC:

yes,the answer is C

Falconmaster:

Thank you so much i owe your my left sock and shirt with my left lung

MARC:

lol,no prob (=

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