# Write an equation in slope-intercept form, given that the line passes through the point (2,7) and has a slope of 2?

Coordinate Geometry is a very important topic in mathematics in which various equations are represented as curves on the cartesian, polar, or other types of planes.

## Answer: The slope-intercept form equation of the line that passes through the point (2, 7) and has a slope of 2 is y = 2x + 3.

Let us observe the solution step by step.

**Explanation:**

Now, let us have a look at the slope-intercept form of a line.

Given: (x_{1}, y_{1}) = (2, 7) and m = 2 where 'm' denotes the slope of the given line.

Hence we can write the equation in slope-intercept form as given below.

(y − y_{1}) = m (x − x_{1})

On substituting the given value of (x_{1}, y_{1}) = (2, 7) and m = 2, we get

(y − 7) = 2 (x − 2)

⇒ y - 7 = 2x - 4

On further simplifying the above equation we get,

y = 2x + 3

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

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