What is an equation of the line that passes through the point (-5,2) and is parallel to the line 4x - 5y = 5?

The equation of the line that passes through the point (-5,2) and is parallel  to the line 4x - 5y = 5 is 5y - 4x = 30

The equation of a line in point-slope form is expressed as:

m is the slope of the line

(x0, y0) is any point on the line

Given the equation 4x - 5y = 5.

Rewrite in standard form:

-5y = -4x + 5

y = 4/5 x - 1

The slope of the line passing through the given equation is 4/5

Substitute the slope and the point into the equation:

Hence the equation of the line that passes through the point (-5,2) and is parallel  to the line 4x - 5y = 5 is 5y - 4x = 30

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Step-by-step explanation:

first change the equation so it just equals y

-5y = 5 -4x

y = 4/5x -1

since this new equation has to be parallel to the previous line, the slopes are the same

y = 4/5x + b

now we have to make sure the new equation passes through (-5,2) so we plug in -5 for x and 2 for y

2 = 4/5(-5) + b

2 = -4 + b

b = 6

so the final equation is

y = 4/5x +6

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right