A line passes through the origin with a slope of 2. Write the equation of this line in slope-intercept form.

Question

UpStudy AI · Accepted Answer

To write the equation of a line in **slope-intercept form**, which is:

$$
y = mx + b
$$

where:
- $$ m $$ is the **slope** of the line.
- $$ b $$ is the **y-intercept** (the point where the line crosses the y-axis).

Given:
- The line **passes through the origin** $$(0, 0)$$, which means the y-intercept $$ b = 0 $$.
- The **slope** $$ m = 2 $$.

Substituting these values into the slope-intercept form:

$$
y = 2x + 0
$$

Simplifying, we get:

$$
y = 2x
$$

**So, the equation of the line in slope-intercept form is:**

$$
y = 2x
$$
The equation of the line is $$ y = 2x $$.

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