Question

write a linear equation in slope intercept form of the line that passes through the point (5,2) and is parallel to y= 3/5x -3

Answer 1

The slope of the line y=3/5x−3 is 3/5. Parallel lines have the same slope, so the equation of our line will be of the form y=3/5x+b, where b is the y-intercept.

To find b, we can plug our point, (5,2), into the equation:

```

2=3/5*5+b

2=3+b

b=2-3

b=-1

```

Therefore, the equation of the line in slope-intercept form is y=3/5x−1.

Answer: y = 3/5x - 1

Explanation: