Given:
The given equation of line is [tex]y=\frac{1}{2}x-2[/tex]
The line passes through the point (-8,1)
We need to determine the equation of the line parallel to the line [tex]y=\frac{1}{2}x-2[/tex]
Slope:
Since, the lines are parallel, the slope of the line is given by
[tex]m=\frac{1}{2}[/tex]
Hence, the slope is [tex]m=\frac{1}{2}[/tex]
Equation of the line:
The equation of the line can be determined using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
Substituting the point (-8,1) and the slope [tex]m=\frac{1}{2}[/tex] in the above formula, we get;
[tex]y-1=\frac{1}{2}(x+8)[/tex]
[tex]y-1=\frac{1}{2}x+4[/tex]
[tex]y=\frac{1}{2}x+5[/tex]
Thus, the equation of the line is [tex]y=\frac{1}{2}x+5[/tex]
Hence, Option C is the correct answer.
Heyo! ;D
1. Yes, lines l and k are parallel because the slopes are equal.
2. Yes, lines l and k are parallel because their slopes are equal.
3. Allana can show that UZ/XZ = VZ/YZ using the properties of similar triangles...
4. y = -4x
5. y = 1/2x + 5
Hope this helps! If so, please lmk! Tysm and good luck!
