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Graph using the slope intercept formula 4y+x=12

User Kiran Dash
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Graph using the slope intercept formula 4y+x=12

we know that

the equation of the line in slope intercept form is equal to

y=mx+b

so

isoalte the variable y in the given equation

4y=-x+12

divide by 4 both sides

y=(-1/4)x+12/4

y=(-1/4)x+3+

To graph the line, we need two points

Find the intercepts

Y- intercept (value of y when the value of x is equal to zero)

this value is given

b=3

y-intercept is (0,3)

X-intercept (value of x when the value of y is equal to zero)

For y=0

0=(-1/4)x+3

(1/4)x=3

x=12

the x-intercept is (12,0)

we have the points (0,3) and (12,0)

using a graphing tool, plot the points, join them and graph the line

see the attached figure

please wait a minute

using a graphingor

vo zequa

Graph using the slope intercept formula 4y+x=12-example-1
User Andrzej Reduta
by
4.1k points