Question

Write an equation of the line that has slope of 3 and passes through the point (4,-2)

Answer 1

y = 3x - 14

Explanation:

the slope is the gradient so it is m in the equation y=mx+c

so its y = 3x + c

to find c, substitute the x and y values with the coordinates so

-2 = 3(4) + c

-2 = 12 + c

(subtract 12 from both sides)

-14 = c
so the equation is

y = 3x - 14

Answer 2

Answer is y = 3x - 14

Step by step

Using point slope formula we can write our equation

y - y1 = m (x - x1)

y - -2 = 3 (x - 4)

y + 2 = 3x - 12

Subtract 2 from both sides to isolate y

y + 2 - 2 = 3x -12 -2
Combine

y = 3x - 14 is your equation