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# What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)?

**Solution:**

We have equation of line passing through two points (x_{1}, y_{1}) and (x_{2}, y_{2}) as,

(y - y_{1}) = [(y_{2} - y_{1})/(x_{2 }- x_{1})] (x - x_{1})

Here, (x_{1}, y_{1}) = (1, 3) and (x_{2}, y_{2}) = (3, 7)

⇒ (y - 3) = [(7 - 3)/(3 - 1)] (x - 1)

⇒ (y - 3) = (4/2)(x - 1)

⇒ (y - 3) = 2(x - 1)

⇒ 2x - y + 1 = 0 ---- (1)

Now, slope-intercept form of line is y = mx + c

Rearranging equation (1) ⇒ y = 2x +1

Therefore, the required equation is y = 2x +1

## What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)?

**Summary:**

The slope-intercept form equation of the line that passes through (1, 3) and (3, 7) is y = 2x +1.

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