Answer:
[tex]y = 3x + 5[/tex]
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 ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) is given by
[tex]\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}[/tex].
So, in our case ([tex]x_{1},y_{1}[/tex]) ≡ (0,5) and ([tex]x_{2},y_{2}[/tex]) ≡ (-3,-4)
Therefore, the equation of the straight line will be
[tex]\frac{y - 5}{5 - (- 4)} = \frac{x - 0}{0 - (- 3)}[/tex]
⇒ [tex]y - 5 = \frac{9}{3}x[/tex]
⇒[tex]y = 3x + 5[/tex] (Answer)
