The slope intercept form is
y = Mx + b
x and y are the coordinates, and m is the slope. If you don’t have b, you can plug in the other numbers you do have.

EXAMPLE:
A line has a slope of -3 and a coordinate of (1, 6). What is the y-intercept (b)?

y = Mx + b
6 = -3(1) + b
6 = -3 + b
9 = b

5 0

3 years ago

Let f(x) = 7x^2-5x+3 and g(x) = 2x^2+4x-6

Troyanec [42]

Answer:

$\large\boxed{A.\ f(x)+g(x)=9x^2-x-3}\\\boxed{B.\ f(x)-g(x)=5x^2-9x+9}\\\boxed{g(x)-f(x)=-5x^2+9x-9}$

Step-by-step explanation:

$f(x)=7x^2-5x+3,\ g(x)=2x^2+4x-6\\\\A:\\f(x)+g(x)=(7x^2-5x+3)+(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3+2x^2+4x-6\qquad\text{combine like terms}\\f(x)+g(x)=(7x^2+2x^2)+(-5x+4x)+(3-6)\\f(x)+g(x)=9x^2-x-3$

$B:\\f(x)-g(x)=(7x^2-5x+3)-(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3-2x^2-4x+6\qquad\text{combine like terms}\\f(x)-g(x)=(7x^2-2x^2)+(-5x-4x)+(3+6)\\f(x)+g(x)=5x^2-9x+9$

$C:\\g(x)-f(x)=(2x^2+4x-6)-(7x^2-5x+3)\\g(x)-f(x)=2x^2+4x-6-7x^2+5x-3\qquad\text{combine like terms}\\g(x)-f(x)=(2x^2-7x^2)+(4x+5x)+(-6-3)\\g(x)-f(x)=-5x^2+9x-9$

3 0

4 years ago

Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.

jok3333 [9.3K]

Kevin is now 24 and Daniel is 8 years old.

4 0

4 years ago

Product of 70 times 6000, use the associative and commutative properties to show how mark can calculate this product mentally

Volgvan

Whatever happened to just normal 70 times 6,000? The product is 420,000. If that was your question.

6 0

4 years ago

Read 2 more answers