Answer:
The equation of line is 4 y - 3 x - 7 = 0
Step-by-step explanation:
Given points of line as
A = ( 3 , 4 )
B = ( 7 , 7 )
Now The equation of line is written as :
[tex]y-y_1 = m (x-x_1)[/tex]
Where m is the slope of line
So, m = [tex]\frac{y_2-y_1}{x_2 - x_1}[/tex]
Or, m = [tex]\frac{7-4}{7 - 3}[/tex]
Or, m = [tex]\frac{3}{4}[/tex]
∴ slope of line is [tex]\frac{3}{4}[/tex]
Now equation of line with slope and points as
[tex]y-4 = \frac{3}{4} (x-3)[/tex]
Or, 4× ( y - 4 ) = 3× ( x - 3 )
Or, 4 y - 16 = 3 x - 9
Or, 4 y - 3 x - 7 = 0
Hence The equation of line is 4 y - 3 x - 7 = 0 Answer
