3x - y = -3 and passes through the point (4,-2)

Question

i need help with this its a really hard problem

Answer 1

 

3x-Y= -3 (standard form)

 

a) change to slope intercept form by multiplying both side of the equation by -1 and solve for Y

 

(-1)(3x-y) = (-3)(-1)

 - 3X + Y = 3

 Y = 3X + 3   slope intercept form (y=mx +b)

 

Now from here you can see that the slope of the line = 3

 

Since now you have the slope and the point (4,-2), use the point slope form to solve the equation : m=3: X₁=4: Y₁=-2

 

Y - Y₁ = m (X - X₁)

plug in the values:

 

Y - (-2) = 3 (X - 4)

Y + 2 = 3x - 12

 

Y = 3x - 14

 

check: for x= 4

 

Y=3(4) - 14

Y= 12 - 14

Y = - 2

 

If you're looking for the equation of the line, then  Y= 3x + 14