Question

Which equation best represents the relationship between x andy in the graph?

Answer 1

the graph is a line, so the general equation of a line is

$y=mx+b$

where m is the slope and b is the y-intercept(when the line touches the y-axis)

Y-intercept

from the graph we can notices the number on y-axis when the line touches it, is

$-3$

then b=-3

now we replace b on the general equation

$y=mx-3$

Slope

we can replace a point of the graph different to the y-intercept n this case I will use (-4,0)

then replace on general equation

$(0)=m(-4)-3$

simplify and solve for m

$\begin{gathered} 0=-4m-3 \\ 3=-4m \\ m=-\frac{3}{4} \end{gathered}$

the slope is -3/4

Finally

we replace b and the slope on the general equation to find the line

$y=-\frac{3}{4}x-3$