Answer:
y =3x + 6
Step-by-step explanation:
The gradient of a line is its slope, the rate of change of y with x.
The gradient (m) of the line in question is said to be:
m = 3
The same line passes thru the point, (x₁, y₁):
x₁ = -1
x₁ = -1y₁= 3
Line of 'slope-point" form:
[tex] \boxed{ \mathsf{y - y _1 = m(x - x _1 ) }}[/tex]
putting the values in place
y - 3 = 3(x - (-1))
two minus make a plus
y - 3 = 3(x + 1)
y - 3 = 3x + 3
isolating y (sign of 3 changes as it changes its side)
y = 3x + 3 + 3
y = 3x + 6
That is the required equation of the line.
