Write the equation of a line that passes through (-5,6) and has a slope of 4, please!

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 : )

europa2433

europa2433

step-by-step explanation:

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