# Question #25b4e

##### 1 Answer

As the two lines are parallel they have the same gradient, m. The value of m can be found by considering the line joining (3,-1) and (-5,2). Then by using the point (1,2), the value of c is found.

#### Explanation:

As the two lines are parallel they have the same gradient, m. The value of m can be found by considering the line joining (3,-1) and (-5,2).

Now we can find out the equation of the line passing through (1,2). The equation for a straight line is:

Substitute in the value of m, which has already been found:

Now by using the x and y values for the point (1,2):

Rearrange to make c the subject:

Finally we can put the value of the y-intercept, to produce the answer:

or if you like you can combine the terms on the right hand side: