Question

Slope=-4, it goes through (-2,9)

Answer 1

Answer: $y = -4x + 1$

Step-by-step explanation:

The formula for finding equation of a straight line when a point and a slope is given is :

$y-y_{1}=m(x-x_{1})$

where m is the slope

$x_{1}=-2$

$y_{1}=9$

$m=-4$

substituting into the equation , we have

$y-9 = -4(x-(-2) )$

$y-9 = -4 ( x + 2)$

$y-9 = -4x-8$

$y = -4x-8+9$

$y = -4x + 1$

Answer 2

Answer:

y= -4x+1

Step-by-step explanation:

If you want to write this equation in slope intercept form, you need to find the y-intercept. Here is your current equation y= -4x + b. Then, substitute the x and y for the coordinate. Now, it should look like this: 9= -4(-2) + b. Multiply -4 and -2 to get 8. Now, this is your equation: 9= 8 + b. Then, subtract 8 from both sides to get your final answer, 1=b. Now that you have your y-intercept, go back to your original equation and fill in 1 for b. This is your final equation: y= -4x+1. Hope this helped!