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

To find the equation of line v parallel to line u, we use the slope of line u and the given point. The equation of line v in slope-intercept form is y = -4/5x - 22/5.

Step-by-step explanation:

To find the equation of line v, which is parallel to line u, we need to determine the slope of line u and use that to find the equation of line v. The given equation of line u is y - 4 = -4/5(x - 3). By comparing this equation to the general form y = mx + b, we can see that the slope of line u is -4/5.

Since line v is parallel to line u, it will have the same slope. So the slope of line v is also -4/5. Now we need to find the equation of line v using the given point (7, -6) and the slope -4/5. We can use the point-slope formula: y - y1 = m(x - x1). Substituting the values, we get y + 6 = -4/5(x - 7).

Simplifying the equation, we get the slope-intercept form of line v: y = -4/5x - 22/5.