Question

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.

Answer 1

Slope-intercept form of line t is

y = 2x - 5.

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.

Answer 2

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

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