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PLZ HELP WILL GIVE BRAINLIEST THANKS AND RATING PLUS 19 POINTS

a straight line with a gradient of 3 passes through the point with co-ordinates (0,7)
write down equation of line?

a second line perpendicular to the first passes through the point (0,2)
write down equation of this line

and plz explain

Respuesta :

hudsonator1011
As the general formular for a straight line is
[tex]y = mx + c[/tex]


m represents the gradient
c represents the point at which the line crosses the y axis.
Therefore you simply plug the numbers into the equation.
[tex]y = 3x + 7[/tex]


You can work out whether 2 lines are perpendicular by multiplying their gradients. The product of the gradient of perpendicular lines will always be -1.
If lines are perpendicular, M1× M2 = − 1
So you can rearrange the equation to get M2=-1/M1.
As they perpendicular they have to intercept at the same point on the Y axis therefore you get the equation
[tex]y = - \frac{1}{3}x + 7[/tex]





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