Question

A coordinate plane with a line passing through the points (negative 4, negative 5) and (1, negative 1).

Answer 1

Answer:

Standard form: 4x-5y=9

x-intercept: 9/4

y-intercept: -9/5

Step-by-step explanation:

Edgenuity

Answer 2

Answer:

4x - 5y - 9 = 0

$\frac{9}{4}$

$\frac{-9}{5}$

Step-by-step explanation:

The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by $\frac{y - (-5)}{-5-(-1)} =\frac{x-(-4)}{-4-1}$

⇒ $\frac{y+5}{-4} =\frac{x+4}{-5}$

⇒ 5y + 25 = 4x + 16

⇒ 4x - 5y - 9 = 0 ....(1) (Answer)

Now, this above equation can be represented as

$\frac{x}{\frac{9}{4} } + \frac{y}{\frac{-9}{5} } =1$

Therefore, the x-intercept is $\frac{9}{4}$ (Answer)

And the y-intercept is $\frac{-9}{5}$. (Answer)