Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

$\begin{gathered} y=\frac{2}{3}x+b \\ (0,-4)\colon \\ -4=\frac{2}{3}\cdot0+b \\ b+0=-4 \\ b=-4 \end{gathered}$

So our equation is:

$y=\frac{2}{3}x-4$

y = 2/3x - 4

7 0

1 year ago

If f(x) = 4x-x², find<br> square root f(3/2)

katrin [286]

Answer:

$\frac{\sqrt{15} }{2}$

Step-by-step explanation:

$\sqrt{f(\frac{3}{2} )$ , substitute $\frac{3}{2}$ to x

$f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2$ = $\frac{15}{4}$ or 3.75

$\sqrt{f(\frac{3}{2} )$ = $\sqrt{3.75}$ = $\frac{\sqrt{15} }{2}$

6 0

1 year ago

Is (4,-2), (1,-1), (0,0), (1,1), (4,2) a function?

Ilia_Sergeevich [38]

No this data set is not a function because two points have x coordinates of 4

Hope this helps

7 0

3 years ago

Read 2 more answers

Jen traveled a distance of 170 miles in 2 hours and 45 min. Express her speed, in miles per hour to the nearest tenth

sweet-ann [11.9K]

Jen is going around 85mph

8 0

2 years ago