Hi, 

*Note: one may 'graph' the line by plotting the points and drawing the line thru them

Knowing that the x values increase by 9 as the y values decrease by 4

this discovery has led to the 'slope' of the line is (-4/9) 

Note: the general slope-intecept form of an equation of a line is:

y = mx + b  where m is the slope and b is the y value where the line crosses the y-axis

If you were looking for an equation of the line:

y = (-4/9)x + b

subsituting one of the ordered pairs to solve for b

(1,6)

6 = (-4/9)*1 + b

6 + 4/9) = b

58/9= b

y = (-4/9)x + 58/9  would be the equation of the line, 

which could also be written in standard form by mulitplying each side of the equation by 9

4x + 9y = 58



 

RELATED QUESTIONS

I am trying to help my daughter with her algebra 2 homework and we have come across :... (answered by stanbon)

Trying to help my daughter with her 8th grade Pre-Algebra, we're coming up with different  (answered by rahman)

I'm trying to help my 8th grade daughter with her homework.  Here's the first question:  
 (answered by scott8148)

I am trying to help my daughter with her homework.
1over8 times B equals... (answered by KnightOwlTutor,josmiceli)

I am trying to help my daughter do her homework and it has been decades since I have done  (answered by josmiceli)

Can you please help me solve problems such as {{{1/h 5th power = h nth power}}}. What is... (answered by Theo)

I am trying to help my 6th grade daughter with her math and was stumped when we came upon  (answered by richwmiller)

Trying to help my son with his Algebra II
We have this question 1/8 : x = 1/2 : 4/5
I... (answered by mananth)

How do you find the slope and y intercept of equations like this! I'm trying to help my... (answered by Theo)