Question

(3,0) and(0,-7) Write an equation in standard form of the line that passes through the given points

Answer 1

Given the points ( 3 , 0 ) and ( 0 , -7)

The slope intercept form of the line y = mx + c

Where m is the slope and c is the y-intercept

The slope will be calculated as following:

$m=\frac{0-(-7)}{3-0}=\frac{7}{3}$

so, y = (7/3) x + c

C is the value of y when x = 0

So, using the point (0, -7)

when x = 0 , y = -7

so,

c = -7

so,

y = (7/3) x - 7

Multiplying all terms by 3

so,

3y = 7x - 21

so,

3y - 7x = -21

so, the standard form of the line :

3y - 7x = -21 or 7x - 3y = 21