Question

Which graph best represents -5 y = -6 x + 15?

Answer 1

Given,

$\[ - 5y = - 6x + 15\]$

Solution,

Plot the graph.

Figure 1 shows the best graph.

Answer 2

Answer:

The graph is a straight line passing through the x-axis and y-axis.

Step-by-step explanation:

Given equation is $-5y=-6x+15$.

We need to find the graph that best suits the given equation.

The given equation is $-5y=-6x+15$.

Now take $-6x$ from the left side to the right side. The symbol is negative, it becomes positive because of the shift.

$6x-5y=15$

Now divide the equation with $15$ on both the sides.

$\frac{6x-5y}{15}=\frac{15}{15}$

Now split the term on the left side.

$\frac{6x}{15}-\frac{5y}{15}=1$

$\frac{x}{\frac{5}{2}}+\frac{y}{-3}=1$

It is in the intercept form of the equation $\frac{x}{a}+\frac{y}{b}=1$.

On comparing the equations, we get

$x-$intercept = $\frac{5}{2}$

$y-$intercept = $-3$

So we draw a graph having the intercepts as listed above.

The graph is a straight line.