Mathematics: find the equation of the straight line passing through the point (4,8) and which isperpendicular to the line with equation y = -3x + 2.

10 birds each have 5 eggs. How many eggs do they have all together?10*5=50eggs all together....

find the equation of the straight line passing

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18.01.2022

y = $\frac{1}{3}$ x + $\frac{20}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 2 ← is in slope- intercept form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-3}$ = $\frac{1}{3}$ , thus

y = $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (4, 8) into the partial equation

8 = $\frac{4}{3}$ + c ⇒ c = 8 - $\frac{4}{3}$ = $\frac{20}{3}$

y = $\frac{1}{3}$ x + $\frac{20}{3}$ ← equation of line

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