Answer:
Step-by-step explanation:
(3,0),(4,1) ⇒ (x₁,y₁),(x₂,y₂)
to find the equation of the line
y-y₁= {(y₂-y₁)/(x₂-x₁)}(x-x₁)
y-0= [(1-0)/(4-3)] (x-3)
y-0 = 1/1(x-3)
y-0 = x-3
y= x-3+0
y=x-3
compare to y=mx+c, where m is the gradient and c is the intercept on y-axis
m=1, c=-3
∴the y-intercept of the line is -3
Answer:
A. y = 
x + 7
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope and b is the y-intercept
<em>It gives us the slope, so we can plug that in:</em> y = x + b
<em>Next, it gives us a point, so we can plug in the x and y into our equation and solve for b when (x, y)</em>
y = x + b
7 = (0) + b
7 = b
<em>Last, complete our equation:</em>
y = x + b
y = x + 7
Answer:
a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term <u>doesn't change</u>
b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 <u>plus</u> 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.
Answer:
Angle Q
Step-by-step explanation:
As I said on my previous posts, all you need to remember is CPCTC (corresponding parts of congruent triangles are congruent)
Q corresponds to B, and is thus congruent
Answer:
3
- 4x - 32
Step-by-step explanation:
(3x+8)(x-4)
=3 -12x + 8x -32
=3 - 4x - 32
