Question

What is the equation of the line that passes through the point left bracket, 5, comma, 5, right bracket(5,5) and has a slope of minus, start fraction, 3, divided by, 5, end fraction -5/3

Answer 1

The equation of the line that passes through the point (5,5) and has a slope of -5/3 is y = (-5/3)x + 20/3.

Step-by-step explanation:

The equation of the line can be found using the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope (m) is -5/3. We are given a point on the line (5,5), which means x = 5 and y = 5.

Substituting these values into the slope-intercept form, we get the equation:

y = (-5/3)x + b.

To find the value of b, we can use the given point (5,5). Substituting x = 5 and y = 5, we get:

5 = (-5/3)(5) + b.

Simplifying the equation, we find that b = 20/3.

Therefore, the equation of the line is y = (-5/3)x + 20/3.