Question

Write the slope-intercept form of the equation that goes through the point (0, 0) and is parallel to the line that has a slope of -6. y=-3x y=-3X-6 y= -6x y=-6x6 now

Answer 1

To find the equation of a line when having the slope and a point, we use the point-slope equation:

`y-y_1=m(x-x_1)`

Where m is the slope and (x1,y1) is the point.

In this case, since the point is (0,0):

`\begin{gathered} x_1=0 \\ y_1=0 \end{gathered}`

And we are told that the line is parallel to a line that has a slope of -6. Something that is important to solve this problem is:

• Parallel line have ,the same slope

So the slope of the line is also -6:

`m=-6`

Now we are ready to use the point-slope equation:

`y-y_1=m(x-x_1)`

Substituting m, x1, and y1:

`y-0=-6(x-0)`

Simplifying the expression, we get the slope-intercept form:

`y=-6x`

Answer: y=-6x