Question

The equation of line u is y-4=-(4)/(5)(x+3). Line v includes the point (7,-6) and is parallel to line u. What is the equation of line v ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer 1

The equation of line v is y = -4/5x + 38/5.

Step-by-step explanation:

To find the equation of line v, we know that it is parallel to line u. When two lines are parallel, they have the same slope. The equation of line u is y - 4 = -4/5(x + 3), which means the slope is -4/5. So, the slope of line v is also -4/5.

We also know that line v includes the point (7, -6). Using the point-slope form of a line, we can write the equation of line v as y - y1 = m(x - x1). Substituting the values, we get y - (-6) = -4/5(x - 7).

Simplifying further, the equation of line v in slope-intercept form is y = -4/5x + 38/5.