Question

Devon wants to write an equation for a line that passes

through 2 of the data points he has collected. The points
are (8, 5) and (-12, -9). He writes the equation
7x-10y=3. Is this a
reasoning.
good model? Explain your reasoning.

Answer 1

7x-10y=6

Explanation:

Firstly, supervise 7x-10y=3 using the coordinates of one from the known points

7*8-10*5=3

6=3 It is not correct, so the equation is uncorect

Find the correct equation

The common equation is y=mx+b

5=8m+b

-9=-12m+b

Both equations are simultaneous.

-9-5= -12m+b- (8m+b)

-14=-20m

m=0.7

b=5-5.6=-0.6

y=0.7x-0.6

0.7x-y=0.6

7x-10y=6- the correct answer