Answer:
B) y = x + 2 and y = -x - 4
Step-by-step explanation:
Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be
The line with positive slope has x-intercept a=-2 and y-intercept b=2.
Its equation is:
Multiply through by 2
Solve for y,
For the line with a negative slope,
the x-intercept is a=-4 and the y-intercept is b=-4
Its equation is
Multiply through by -4
Solve for y
Answer:
x = 5, x =
Step-by-step explanation:
Given
+
= 3
=
=
=
( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
x - 5 = 0 ⇒ x = 5