Answer:
yes
Step-by-step explanation:
Y = mx + b slope(m) = -2/3 y-intercept(b) = -5
just simply put where these belong to find your equation.
y = -2/3x - 5
hope this helps, God bless!
Answer:
k = 15
Step-by-step explanation:
∵ x² - 8x + k = 0 ⇒ has two roots x1 and x2
∵ ax² + bx + c = 0 has two roots
∴ The sum of roots = -b/a and the product of them = c/a
∵ a = 1 , b = -8 and c = k
∴ x1 + x2 = -(-8)/1 = 8
∴ x1 + x2 = 8 ⇒ (1)
∵ 3x1 + 4x2 = 29 ⇒ (2)
Multiply (1) by -4
∴ -4x1 - 4x2 = -32 ⇒ (3)
Add (2) and (3)
∴ -x1 = -3
∴ x1 = 3
By substituting value of x1 in (1)
∴ 3 + x2 = 8
∴ x2 = 5
∴ The roots are 3 and 5
∴ c/a = 3 × 5 = 15 ⇒ (a = 1)
∴ c = 15
∴ k = 15
Answer:
y= -1/3x + 13/3
Step-by-step explanation:
we can find the equation of the line thanks to this formula
y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the point, while m indicates the slope
y-2 = -1/3(x-7)
y = -1/3x+7/3+2
y= -1/3x + (7+6)/3
y = -1/3x+13/3
