Answer:
y = - 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)
m = [tex]\frac{2+4}{1-3}[/tex] = [tex]\frac{6}{-2}[/tex] = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2), then
2 = - 3 + c ⇒ c = 2 + 3 = 5
y = - 3x + 5 ← equation of line
Answer:
y=-3x+5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-(-4))/(1-3)
m=(2+4)/-2
m=6/-2
m=-3
y-y1=m(x-x1)
y-(-4)=-3(x-3)
y+4=-3(x-3)
y=-3x+9-4
y=-3x+5
