Question

Which equation has a graph that passes through the points at (0,5) and (-3,-4)?

Answer 1

Answer:

$y = 3x + 5$

Step-by-step explanation:

We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).  

Now, we know that the equation of a straight line passing through the points ($x_{1},y_{1}$) and ($x_{2},y_{2}$) is given by

$\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}$.

So, in our case ($x_{1},y_{1}$) ≡ (0,5) and ($x_{2},y_{2}$) ≡ (-3,-4)

Therefore, the equation of the straight line will be  

$\frac{y - 5}{5 - (- 4)} = \frac{x - 0}{0 - (- 3)}$

⇒ $y - 5 = \frac{9}{3}x$

⇒$y = 3x + 5$ (Answer)