Answer:
y = 4x + 26
Step-by-step explanation:
There are lots of different methods to do these types of questions, but this is the way i like to do it.
Coordinate (x1, y1) : (-5, 6) and Gradient (m): 4
Start with this generic equation:
y- y1 = m(x-x1)
Substitute in the values they have given you:
y - 6 = 4(x-(-5))
This becomes:
y - 6 = 4 (x+5)
y - 6 = 4x + 20
Keep solving by moving the 6 over to the other side:
y = 4x + 20 + 6
y = 4x + 26
An easy way to double check:
1) the coefficient of x is the slope. We got 4x, and the slope is 4, so that's correct.
2) Substitute x=-5 into the equation, and we get 6, which is the exact coordinate that they gave us. This is also right.
Hope this helped : )
