Question

Ver en español line s has an equation of y= – 7 10 x–1. Line t, which is parallel to line s, includes the point ( – 6,5). What is the equation of line t?

A) y = -7/10x + 11
B) y = -7/10x + 4
C) y = -7/10x + 5
D) y = -7/10x + 6

Answer 1

To find the equation of line t, which is parallel to line s, we can use the point-slope form of a linear equation. The equation of line t is y = -7/10x - 7/10.

Step-by-step explanation:

To find the equation of line t, which is parallel to line s, we know that parallel lines have the same slope. The given equation of line s is y = -7/10x - 1. The slope of line s is -7/10. To find the equation of line t, we can use the point-slope form of a linear equation: y - y1 = m(x - x1). Plugging in the coordinates of the point ( - 6,5), we have y - 5 = -7/10(x + 6). Simplifying this equation gives us the equation of line t as y = -7/10x - 7/10.