Since slope-intercept form is y = mx + b where m is slope and b is the y-intercept, so to find what the equation of the line is, you need to find the values of both variables.
The equation for slope is (change in y)/(change in x), or y/x.
You can set up the equation like this;
[tex] m= \frac{y2-y1}{x2-x1}\\
m=\frac{10-5}{2-(-3)} \\
m=\frac{5}{2+3}\\
m=\frac{5}{5}
m=1 [tex]
So the slope of the line is 1.
To find the y-intercept, solve y = (1)x + b for b;
[tex] y=x+b\\
b=y-x [tex]
Plug the values of a point in for x and y;
[tex] b=10-2\\
b=8 [tex]
This brings your final equation to be [tex] y=x+8 [tex].
Answer:
-10
Step-by-step explanation:
f(n)= f(n-2)+f(n-1)
• Put n = 3
=> f(3) = f(3-2) + f(3-2)
=> f(3) = f(1) + f(2)
=> f(3) = -6 + -4
=> f(3) = -10
Answer:
$24
Step-by-step explanation:
James
Allowance per week = $6
He spends = $4
Balance = $6 - $4 = $2
Mike
Allowance per week = $7
He spends = $3
Balance = $7 - $3 = $4
Their mother's birthday is in 4 weeks
how much money can they save together in that time to buy her present?
James savings per week × 4 weeks
= $2 × 4
= $8
Mike's savings per week × 4 weeks
= $4 × 4
= $16
Total amount James and Mike can save together = $8 + $16
= $24