Question

How do you write an equation that passes through the point (-2, 4) with a slope of 1/2?

Answer 1

See a solution process below:

Explanation:

We can use the point-slope formula to write an equation for the line passing through the two points in the problem, The point-slope form of a linear equation is: `(y - color(blue)(y_1)) = color(red)(m)(x - color(blue)(x_1))`

Where `(color(blue)(x_1), color(blue)(y_1))` is a point on the line and `color(red)(m)` is the slope.

Substituting gives:

`(y - color(blue)(4)) = color(red)(1/2)(x - color(blue)(-2))`

`(y - color(blue)(4)) = color(red)(1/2)(x + color(blue)(2))`