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3 years ago

Write an equation that is parallel to y=-4x+5 and passes through the point (-2,-1)

Mathematics

1 answer:

marta [7]3 years ago

8 0

The equation of line parallel to y=-4x+5 is y = -4x-9

Further explanation:

Given equation of line is:

y = -4x+5

Comparing it with the standard form of equation

$y=mx+b\\Then\\m = -4$

As the slopes of parallel lines is equal, the slope of the line parallel to given line will be same. Putting the value of slope in standard equation.

$y = mx +b\\y = -4x +b$

To find the value of b, the given point will be put in the equation

$-1 = -4x -2\\-1 = -4(-2) +b\\-1 = 8 +b\\-1 -8 = b\\-9 = b$

Putting the values of b and m in standard form

$y = -4x -9$

So, the equation of line parallel to y=-4x+5 is y = -4x-9

Keywords: Slope, Equations of lines, Point-slope equation of line

Learn more about point-slope form at:

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<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. $\rm y = a^x$

where a is a constant and a>1

We have:

A philanthropist pledges to donate 10% of a fund each year.

We can find the amount left after 7 years as follows:

A = 450000(1 - 0.1)⁷

10% of a fund each year.

Rate r = 10% = 0.1

A = 450000(0.9)⁷

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