Kaitlinlindidn
Answered

Find detailed and accurate answers to your questions on IDNLearn.com. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

y-1=-1/2(x-2)
I need this in standard form plz

Sagot :

Amysun2025idn

Answer:

x+2y=4

Step-by-step explanation:

Hi there!

We are given the equation y-1=-1/2(x-2), and we want to write it in standard form

Standard form is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero and a cannot be negative

The equation is currently in slope-point form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point belonging to the line

In order to get from slope-point form to standard form, we need to first simplify the equation into slope-intercept form and then convert to standard form.

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.

So, let's convert  from slope-point form into slope-intercept form

Start by distributing -1/2 to each number on the right side

y-1=-1/2*x + -1/2*-2

y-1=-1/2x+1

Now add 1 to both sides

y=-1/2x+2

The equation is now in slope-intercept form

In standard form, x and y are on the same side, so let's add -1/2x to both sides in order to move it.

y=-1/2x+2

+1/2x +1/2x

______________

1/2x+y=2

We're almost done; remember that a, the coefficient in front of x CANNOT be negative

So let's multiply both sides by 2 in order to clear the fraction

2(1/2x+y)=2(2)

multiply

x+2y=4

Hope this helps!

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.