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Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (–6, –1).

A. y = 5x + 29
B. y = –5x – 11
C. y= 1/5 x+1/6
D. y = 5x – 29

Respuesta :

Mehek
Parallel lines have the same slow so your answer will have 5 as the slope
That's both option A and option D
Substitute (-6, -1) to find the value of the y-intercept
-1 = 5 * -6 + b
-1 = -30 + b
29 = b
So y = 5x + 29 (Option A)

The equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29. Then the correct option is A.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (–6, –1).

The slope of the parallel lines is the same.

Then the equation will be

y = 5x + c

And the line is passing through (-6, -1), then the value of c will be

-1 = 5(-6) + c

c = 30 - 1

c = 29

Then the equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29.

Then the correct option is A.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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