Number 15
how do you solve it?

Question 15 -

SOLUTION:

Let's establish the formula for the gradient / slope of a line as follows:

Slope = ( y2 - y1 ) / ( x2 - x1 )

Now we will simply substitute the values from the problem into the gradient / slope formula in order to obtain the value of ( y ).

x1 = 5

x2 = - 7

y1 = 2

y2 = y = ?

Slope = ( y2 - y1 ) / ( x2 - x1 )

5 / 6 = [ ( y ) - ( 2 ) ] / [ ( 5 ) - ( - 7 ) ]

5 / 6 = ( y - 2 ) / ( 5 + 7 )

5 / 6 = ( y - 2 ) / 12

( y - 2 ) / 12 = 5 / 6

y - 2 = ( 5 / 6 ) × 12

y - 2 = 60 / 6

y - 2 = 10

y = 10 + 2

y = 12

FINAL ANSWER:

Therefore, the answer is:

y = 12

Hope this helps! :)
Have a lovely day! <3