Question

What is the equation of this line in slope

intercept form?
y= -5x + 8
y=8/5x+3
y =5/8x+3
y=5/3x+3

Answer 1

The Answer is: y - 8 = 5/3(x - 3)

Explanation:

Given the y intercept form:

y = 5/3x + 3

Note that the slope is 5/3.

Find a point on the line.

Choose x = 3, solve for y:

y = 5/3(3) + 3

y = 5 + 3

y = 8

This give you the point:

(3, 8)

Use this to substitute into the point slope equation:

y - y1 = m(x - x1)

y - 8 = 5/3(x - 3)