Write an equation of the line through the given point with the given slope. Write the equation in​ slope-intercept form.

​(2​, 3​); m​ = minus 2

1 answer

The given point is (2, 3) and the given slope is -2.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Substituting the given point into the equation, we have the following:

3 = -2(2) + b

Simplifying the equation, we get:

3 = -4 + b

To find the value of b, we add 4 to both sides of the equation:

3 + 4 = b

7 = b

Now that we have the value of b, the equation of the line can be written as:

y = -2x + 7