Question

Through(-4,4) slope =-3/4

Answer 1

Answer:

$y = - \frac{3}{4}x - 7$

Step-by-step explanation:

We have to find the equation of the straight line which has the slope equal to $- \frac{3}{4}$ and passes through the point (-4,-4).

As the slope of the equation is $- \frac{3}{4}$, hence by slope-intercept form the equation of the straight line will be given by  

$y = - \frac{3}{4}x + c$ .......... (1), where c is any constant which we have to evaluate from the given point on the line (-4,-4).

So, the point (-4,-4) satisfies the equation (1) and hence,

$- 4 = - (\frac{3}{4}) \times (- 4) + c$

⇒ - 4 = 3 + c

⇒ c = - 7

Therefore, the equation of the straight line will be  

$y = - \frac{3}{4}x - 7$ (Answer)