Answer:
Point slope form
y - 9 = 4(x-1)
Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0
Step-by-step explanation:
Step(i):-
Given that the points are (1,9) and (-1,1)
slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]
m = [tex]\frac{1-9}{-1-1}[/tex]
m = 4
step(ii):-
Equation of the straight line passing through the point (1,9) and slope 'm' = 4
y-y₁ = m( x-x₁)
y - 9 = 4(x-1)
y -9 = 4x-4
4 x - y -4+9 =0
4 x - y +5=0
Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0
