Question

PLS HELP I NEED THE EQUATION

Answer 1

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's write in the point-slope form:

 $(y-y_0)=m(x-x_0)$

• (x₀,y₀) --> any random point on the line
• m: slope

Let's find the slope:

 $Slope=\frac{y_2-y_1}{x_2-x_1}$

• (x₁,y₁) ==> a random point on the line                    ⇒  (1, -1)                                                  
• (x₂,y₂) ==> a random point on the line not (x₁,y₁)   ⇒  (4, 8)

 

        ⇒ $Slope=\frac{8--1}{4-1}=\frac{9}{3}=3$

Let's gather what we know:

•  (x₀,y₀) = (1,-1)
• m: 3

   Equation: $(y-y_0)=m(x-x_0)\\y+1=3(x-1)$

The equation could also be written in slope-intercept form:

 ⇒ simply isolate y on one side

  $y+1=3(x-1)\\y=3x-3-1\\y=3x-4$

Answer:

• Point-slope form: y + 1 =3(x - 1)
• Slope-intercept form: y= 3x - 4

  *Either answer works, just put the one that you are most familiar with

Hope that helps!

#LearnwithBrainly

Answer 2

Answer: y=3x-4

Step-by-step explanation:

Slope formula = ($y_{1}$ - $y_2$)/($x_1 - x_2$)

(-1-8)/(1-4) = (-9)/(-3) = 3

Slope = 3

Slope intercept formula = y=mx+b

m = slope = 3

y=3x+b

We can plug in x and y to find b

8=3(4)+b

8=12+b then subtract 12 from both sides

-4=b

Now we put it in

y=3x-4