How do you write in standard form an equation of the line with the slope...

sentidosin0q

sentidosin0q

Answered

2022-01-30

How do you write in standard form an equation of the line with the slope -4 through the given point (2,2)?

Answer & Explanation

ocretz56

ocretz56

Expert

2022-01-31Added 16 answers

Explanation:
First off you have to know the standard form formula which is:
y=mx+b
Plug in the slope and the points (x,y) to get b
y=mx+b
2=-4(2)+b
2=-8+b
Next, you add 8 to both sides to get b alone:
10=b
Plug your slope and b value into the standard formula
logik4z

logik4z

Expert

2022-02-01Added 8 answers

Explanation:
the equation of a line in standard form is.
Ax+By=C
where A is a positive integer and B, C are integers
obtain the equation in point-slope form and rearrange into standard form
yy1=m(xx1)
where m is the slope and (x1,y1) a point on the line
here m=-4 and (x1,y1)=(2,2)
y2=4(x2) in point-slope form
y2=4x+8
add 4x to both sides
4x+y2=8
add 2 to both sides
4x+y=10 in standard form

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