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Lines has an equation of y + 3 = 2(x + 10). Parallel to line s is line t, which passes through the point (6, 7). What is the equation of line t?

Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Respuesta :

joseaaronlara

Answer:

The answer to your question is:      y = 2x - 5  

Step-by-step explanation:

Data

                                    y + 3 = 2(x + 10)

Parallel to t

Point (6, 7)

Equation of line t = ?

Process

If they are parallel, then both lines have the same slope

slope = 2                    y + 3 = 2(x + 10)

Find the equation of t

                                 y  - 7 = 2(x - 6)

                                 y = 2x - 12 + 7

                                 y = 2x - 5       Equation in slope-intercept

Answer:

Slope-intercept form of line t is

y = 2x - 5.

Step-by-step explanation:

Line s is y + 3 = 2(x + 10)

This is in point slope form where 2 is the slope so  line t also has slope 2 because the 2 lines are parallel,

and can be written as y - y1 = 2(x - x1) where (x1, y1) is a point on line t.

So we have x1 = 6 and y1 = 7, so:

Line t has equation y - 7 = 2(x - 6)

Convert this to slope-intercept form:

y = 2(x - 6) + 7

y = 2x - 12 + 7

y = 2x - 5.

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