Question

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

Answer 1

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))`