Mathematics: Please help me with this question

Please help me with this question - id10742825, jaydanicole22

vanesacastorena

18.03.2022

Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph $y= \frac {2}{5} x - 3$ is below

$y = - \frac {5}{2} x + 2$

Step-by-step explanation:

Slope of the equation $y= \frac{2}{5} x -3$ is $m_1 = \frac{2}{5}$

Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as

$m_2 = - \frac {1}{m_1} = - \frac {5}{2}$

Equation of line in point slope form is given as

y-y_1=m_2(x-x_1)

Here (x1, y1) = (4, -8)

$y+8 = - \frac{5}{2} (x-4)$

Simplifying it further

$y = - \frac {5}{2} x + \frac {5}{2} 4 - 8$

$y = - \frac {5}{2} x + 2$

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tigistamare03

11.06.2021

the teacher is correct

Step-by-step explanation:

5:4 totals 9

5/9 of y pupils did their home work

5/9 x y=15

5y=15x9

y =15x9/5

y=27

there are 27 students

next day, 2/3of 27 students did their assignment

2/3 x 27=18

difference between the two days 18-15=3

the teacher is correct

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