contestada

What is the equation in point-slope form of the line that passes through the point (1,-1) and has a slope of -4

Respuesta :

Answer:

y=-4x+3

Step-by-step explanation:

Point slope form equation is

[tex]y-y_1=x(x-x_1)[/tex]

where [tex](x_1,y_1)[/tex] is the point through which the line passes and m is the slope in this case we have the point (1,-1) and slope that is m= -4

so,

[tex]y-y_1=m(x-x_1)[/tex] becomes

[tex]y-(-1)=(-4)(x-1)[/tex]

[tex]y+1=-4(x-1)[/tex]

[tex]y+1=-4x+4\\y=-4x+4-1\\y=-4x+3[/tex]