Assignment

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

Answer:

y -4 = 3(x +1)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m passing through point (h, k) is ...

y -k = m(x -h)

Your values for these parameters are ...

m = 3

(h, k) = (-1, 4)

Filling these into the form gives the equation you're looking for:

y -4 = 3(x +1)

You might be interested in

How does -2x + x equal -x ?

shepuryov [24]

Answer:

See below.

Step-by-step explanation:

$-2x+x=-x$

because we combine like terms. You will essentially ignore the x and just do -2 + 1, which is -1. So, the answer would be -1x which is simply just -x.

To see why we can combine like terms, use the distributive property. So we have:

$-2x+x$

This is the same thing as saying:

$=(-2)x+(1)x$

Factor out the x:

$=x(-2+1)$

Add:

$=x(-1)$

And simplify:

$=-1x\\=-x$

5 0

4 years ago

Read 2 more answers

{-2x+y=0<br> 5x+3y=-11<br> Solve the substitution

Rzqust [24]

$\bf \begin{cases} -2x+y=0\\ \boxed{y} = 2x\\[-0.5em] \hrulefill\\ 5x+3y=-11 \end{cases}\qquad \qquad \implies \stackrel{\textit{substituting on the 2nd equation}}{5x+3\left( \boxed{2x} \right)=-11} \\\\\\ 5x+6x=-11\implies 11x=-11\implies x = \cfrac{-11}{11}\implies \blacktriangleright x = -1 \blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{y = 2x}\implies \blacktriangleright y = -2 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (-1~~,~~-2)~\hfill$