The equation for line s can be written as y–8=1/7(x–1). Line t, which is parallel to line s, includes the point (10,2). What is the equation of line t?

Answer 1

Since line t is parallel to line s, they have the same slope.

The equation of line s is y – 8 = 1/7(x – 1). We can write this in slope-intercept form by adding 8 to both sides:
y = 1/7x + 7

Since line t has the same slope as line s, the equation of line t will also be in the form y = 1/7x + b, where b is the y-intercept of line t.

To find the value of b, we substitute the coordinates of the given point (10, 2) into the equation:
2 = 1/7(10) + b
2 = 10/7 + b
b = 2 - 10/7
b = 14/7 - 10/7
b = 4/7

Therefore, the equation of line t is y = 1/7x + 4/7.