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
