Respuesta :
Answer:
Equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1 , y=3 and y=x+5
Step-by-step explanation:
General equation of slope intercept form : [tex]y-y_1=m(x-x_1)[/tex]
We are supposed to find equations in slope-intercept form for three different lines that intersect at (–2, 3).
[tex](x_1,y_1)=(-2,3)[/tex]
Substitute the value in the general equation
y-3=m(x+2)
Now substitute any 3 values of m
At m = -1
[tex]\Rightarrow y-3=-x-2 \\\Rightarrow y=-x+1[/tex]
At m =0
[tex]\Rightarrow y-3=0 \\\Rightarrow y=3[/tex]
At m =1
[tex]\Rightarrow y-3=x+2 \\\Rightarrow y=x+5[/tex]
They all intersect at the given point.
So, equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1 , y=3 and y=x+5
Answer:
y-3=-x-2
y=-x+1
y-3=0
y=3
y-3=x+2
y=x+5
Step-by-step explanation
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