Question

Write an equation (a) in standard form and (b) in slope-intercept form for the line described.through (6,5), parallel to y = - 10(a) The equation of the line in standard form is   enter your response here.

Answer 1

Step-by-step explanation:

Here, we want to write the equation of a line in both the standard and slope-intercept form

The general form is the slope-intercept form which is

`y\text{ = mx + b}`

where m is the slope and b is the y-intercept

From the equation given, we have it that the slope is 0

When two lines are parallel, the value of their slopes is equal

Thus, the slope of the line we want to write its equation is 0 too

For the slope-intercept form:

`\begin{gathered} y-y_1=m(x-x_1) \\ (x_(1,)y_1)\text{ = (6,5)} \\ y-5\text{ = 0(x-6)} \\ y-5\text{ = 0} \\ y\text{ = 5} \end{gathered}`

This is the slope-intercept form

The general form is:

`Ax\text{ + By = C}`

There is no parts for x since the slope is zero

Thus, we have the standard form as:

`y=5`