Respuesta :
the equations of the line u that cuts the x-axis at x=-6 and the y-axis at y=-4
[tex]y=m=-\frac{2}{3}x -4[/tex]
Given :
the line u that cuts the x-axis at x=-6 and the y-axis at y=-4
The line cuts the y axis at y=-4 . So y intercept is -4
WE know the equation of line is [tex]y=mx+b[/tex]
where m is the slope and b is the y intercept
y intercept b is -4
the line cuts x axis at x=-6
so x axis is (-6,0)
lets find out slope m using (-6,0)
[tex]y=mx+b\\b=-4 and (-6,0)\\0=m(-6)-4\\0=-6m-4\\4=-6m\\m=\frac{4}{-6} \\m=-\frac{2}{3}[/tex]
Equation of line U is
[tex]y=m=-\frac{2}{3}x -4[/tex]
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