E8mgr7ainTemekahifa
E8mgr7ainTemekahifa E8mgr7ainTemekahifa
  • 02-07-2016
  • Mathematics
contestada

what is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the graph of 2x 3y = –5?

Respuesta :

Ckaranja
Ckaranja Ckaranja
  • 05-07-2016
Line II 
2x+3y=-5
3y=-2x-5
y=[tex] \frac{-2}{3} x- \frac{5}{3} [/tex]

Gradient m= [tex] \frac{-2}{3} [/tex]
Gradient of line I will be;
[tex] \frac{-2}{3} *m=-1[/tex]
m=[tex] \frac{3}{2} [/tex]
Equation of line I;
y=mx+c
y=[tex] \frac{3}{2} x+c[/tex]
Finding value of c by replacing for;
y=1
x=-6
1=[tex] \frac{3}{2} *(-6)+c[/tex]
c=10
y=[tex] \frac{3}{2} x+10[/tex]
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ttgjayup1 ttgjayup1
  • 16-01-2020

Answer:

d on ed

Step-by-step explanation:

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