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

1 Answer
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 * (x - x_1)#

Standard form : #ax + by = c#

General form: #ax + by + c = 0#

Given : #m = (3/4), 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))#