Use the image to answer the question.

Question

Two parallel lines slope upward on a coordinate plane. A dotted line passes through the plotted point left parenthesis 0 comma 0 right parenthesis. A solid line intersects the y-axis at left parenthesis 0 comma 3 right parenthesis.

Write the equations for the system of linear equations graphed.

(1 point)
The equation of the solid line is y=
, and the equation of the dotted line is y=
.
Remaining Attempts : 3
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Answer 1

To determine the equations of the two lines from the given information, we can follow these steps:

For the Solid Line:

1. The line intersects the y-axis at the point (0, 3). This means that the y-intercept (b) is 3.
2. Since the lines are parallel and slope upward, we can assume they have the same slope. However, without the specific slope provided, we'll denote the slope as m.
3. The equation for a line in slope-intercept form is given by: \[ y = mx + b \] For the solid line: \[ y = mx + 3 \]

For the Dotted Line:

1. The dotted line passes through the point (0, 0), which is the origin. This means the y-intercept (b) is 0.
2. Like the solid line, we can assume the slope is the same, so we denote the slope for the dotted line as m.
3. Therefore, the equation for the dotted line is: \[ y = mx + 0 \quad \text{or simply} \quad y = mx \]

Final Equations:

• The equation of the solid line is \(y = mx + 3\).
• The equation of the dotted line is \(y = mx\).

If you happen to know the specific slope (m) or have any additional details from the image, you can replace 'm' with that specific value.