Question

Find the equation of the line through (4,1/2) and has a slope of -3. Write your answer in general form.

Answer 1

y = -3x + 25/2

Step-by-step explanation

The slope-intercept form of the equation of a line is:

`y=mx+b`

Where m is the slope and b is the y-intercept.

In this problem we're given the slope of the line:

`y=-3x+b`

And we have to find the y-intercept to complete the equation. We know that the line passes through point (4, 1/2). Replace x and y by this point:

`(1)/(2)=-3\cdot4+b`

And solve for b:

`\begin{gathered} (1)/(2)=-12+b \\ b=(1)/(2)+12 \\ b=(25)/(2) \end{gathered}`

The equation is:

`y=-3x+(25)/(2)`