Answer:
y = - x + 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 =
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, 4) ← 2 points on the line
m = =
= -
the line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = - x + 5 ← equation of line
Answer:
Not a factor
Step-by-step explanation:
We can use Factor Theorem to answer this question. According to this theorem, in order to find if (x - a) is a factor of a polynomial f(x), calculate f(a). If f(a) comes out to be equal to zero, this will mean that (x-a) is factor of f(x).
Here, the expression we have is (x + 7), so we need to find f(-7) in order to check if (x+7) is a factor of f(x) or not
Substituting x = -7, we get:
Since f(-7) ≠ 0, (x + 7) is not a factor of the polynomial f(x)