Question

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

Answer 1

this is the answer of your question

Answer 2

The linear function is y = 4x -10 represents the given point slope equation.

Solution:

To find any linear function we find it in $\bold{\left(y-y_{1}\right)=m\left(x-x_{1}\right)}$form convert it into y=mx+c form

Now as we can see that the question y – 2 = 4(x – 3) is already given in $\left(y-y_{1}\right)=m\left(x-x_{1}\right)$ form. Now to change it into y=mx+c form.  

y – 2 = 4(x – 3), is the equation given  

Multiplying 4 with (x – 3)

y – 2 = 4x-12

Shifting 2 to right side we get

y  = 4x – 12 + 2  

y = 4x – 10