Respuesta :
Answer:
The equation of the straight line y = -2x +3
y-intercept = 3 and m =-2
Step-by-step explanation:
Step(i):-
Given that the points are ( 2,-1) and (-3,9)
The slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{9-(-1)}{-3-(2)} = \frac{10}{-5} = -2[/tex]
Step(ii):-
The equation of the straight line passing through the point ( 2,-1) and slope m=-2
y-y₁ = m( x- x₁)
y -(-1) = -2 ( x-2)
y +1 = -2x +4
2x +y +1-4 =0
2x +y -3 =0
Final answer:-
The equation of the straight line y = -2x +3
