Answer:
y = - 2x - 4
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 )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-4}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
the line crosses the y-axis at (0, - 4) → c = - 4
y = - 2x - 4 ← equation of line
Answer:
y= -2x-4
Step-by-step explanation:
Since, from the graph,we can see it is a straight line, therefore we apply the equation of the straight line that is:
y= mx+c where m is the slope and c is the intercept.
Since the points are(-4,4) and (2,8),
m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]\frac{-8-4}{2+4}[/tex]
=[tex]\frac{-12}{6}[/tex]
= -2
Therefore, m= -2
Now,since c is the intercept and the line cuts y- axis at (0,-4), therefore
c= -4
⇒y= mx +c
y= -2x+ (-4)
y= -2x_4
