Question

Write the slope intercept form of the equation of the line through the given point with the given slope

Through: (-5,3), slope=-3/5

Answer 1

Given that,

Point = (-5,3)

Slope, m = -3/5

To find,

The slope intercept form of the equation of the line.

Solution,

The general form of equation is :

y = mx +b

We have, x = -5, y = 3

So,

`3=(-3)/(5)(-5)+b\\\\3=-3+b\\\\b = 6`

The equation is :

`y=(-3)/(5)x+6`

Hence, the required equation is
`y=(-3)/(5)x+6`.