Respuesta :
The equation of the line in slope - intercept form is [tex]y=2 x+4[/tex]
Explanation:
The line passes through the points [tex](-1,2)[/tex] and parallel to the line [tex]y=2x-3[/tex]
Since, the line is parallel, the slope is [tex]m=2[/tex]
The y - intercept can be determined by substituting the points [tex](-1,2)[/tex] and [tex]m=2[/tex] in the slope - intercept formula, we get,
[tex]y=mx+b[/tex]
[tex]2=(2)(-1)+b[/tex]
[tex]2=-2+b[/tex]
[tex]4=b[/tex]
Thus, the y - intercept is [tex]b=4[/tex]
The equation of the line in slope - intercept form can be determined using the formula [tex]y=mx+b[/tex]
Thus, substituting [tex]m=2[/tex] and [tex]b=4[/tex] , we get,
[tex]y=2 x+4[/tex]
Hence, the equation of the line in slope - intercept form is [tex]y=2 x+4[/tex]
