Question

How do you write an equation of a line given slope -3/4 and passes through (-7,0)?

Answer 1

Equation is `color(brown)(3x + 4y + 7 = 0`

Explanation:

Standard form of equation given slope and coordinates of one point on the line :

`y - y_1 = m (x - x_1)`

Given : `x_1 = -7, y_1 = 0, m = -3/4`

`(y - 0) / (-3/4) * (x + 7)`

`y = (-3x - 7) / 4`

`4y = -3x - 7`

`3x + 4y + 7 = 0`