Respuesta :

The Slope-Intercept form of the equation of a line is:

[tex]y=mx+b[/tex]

Where "m" is the slope of the line and "b" is the y-intercept.

When the line passes through the Origin, its equation has this form:

[tex]y=mx[/tex]

Where "m" is the slope of the line.

Based on the explained above, you can identify that the following are Equations of lines:

a.

[tex]y=1+3x[/tex]

Where:

[tex]\begin{gathered} m=3 \\ b=1 \end{gathered}[/tex]

c.

[tex]y=-5x[/tex]

Where:

[tex]m=-5[/tex]

d.

[tex]h=s+1[/tex]

Where:

[tex]\begin{gathered} m=1 \\ b=1 \end{gathered}[/tex]

The answer is:

Option a

Option c

Option d