Question of Math

Question

Given the following information, write an equation in standard form to represent the specific line that is perpendicular to 2x - 5y = 10 and has the same y-intercept as 3x - 4y = -12.

I need to know the steps.

Answer 1

Given the following information, write an equation in standard form to represent the specific line that is perpendicular to 2x - 5y = 10 and has the same y-intercept as 3x - 4y = -12.

I need to know the steps.

The standard form is y = mx+b , m= slope , b= y intercept

so

2x-5y = 10

-5y = 10-2x

5y = 2x -10 or

y = (2/5 )x - 2

Slope of this line is 2/5 and y intercept is -2

Line perpendicular to this line will have slope = - 5/2

So equation is

y= -(5/2) x + b

which has y intercept of other line

3x- 4 y = -12

or y = (3/4 )x +3

having y intercept = 3

So the requied equation is

y = - (5/2) x + 3

Answer 2

The slope of the perpendicular is -5/2.

The intercept in question is (0,3)

The equation of the line needed is -5/2 = (y-3)/x.

You can "massage" the equation into standard form...please look up exactly what standard form means!!!