# What is the equation in point-slope form and slope intercept form of the line given slope: 3/4, y intercept: -5?

May 27, 2018

Point-Slope form of the equation is

color(crimson)(y + 5 = (3/4)* (x - (20/3))

#### Explanation:

Forms of linear equation :

Slope - intercept : $y = m x + c$

Point - Slope : $y - {y}_{1} = m \cdot \left(x - {x}_{1}\right)$

Standard form : $a x + b y = c$

General form: $a x + b y + c = 0$

Given : $m = \left(\frac{3}{4}\right) , y$ intercept $= - 5$

:. y = (3/4) x - 5

When x = 0, y = -5

When y = 0, x = 20/3

Point-Slope form of the equation is

color(crimson)(y + 5 = (3/4)* (x - (20/3))#