Question

Write in standard form the equation of a line that is perpendicular to 2x-5y=7 and has the same y- intercept as the line 7x-2y=-9
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Answer 1

Answer:

5x + 2y = 9

Step-by-step explanation:

Find the slope of the line that is perpendicular to 2x - 5y = 7 :

m= $\frac{-5}{2}$

Find the y - intercept of the function:

b = $\frac{9}{2}$

substitute m= $\frac{-5}{2}$ and b = $\frac{9}{2}$ into y = mx + b :

y =  $\frac{-5x}{2}$ +  $\frac{9}{2}$

y = 5x + 2y = 9