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!
