PLEASE HELP 15 POINTS 1. An architect is drawing a sketch for a new building. He uses graphs of lines on a coordinate plane to sketch out his ideas. The architect has plotted the graph of the line 4x + 16y = 8.
What is the equation of the line he has graphed in slope-intercept form? (Reduce all fractions)
2
Write the equation in slope-intercept form perpendicular to the original line that goes through the point
(-6, -19)
3
Write the equation in slope-intercept form parallel to the original line that goes through the point (-8,6).

1)

2)

3)

Step-by-step explanation:

Question 1:

All you have to do is solve for y to get the slope intercept form.

So the equation is

Question 2:

Now for this one you have to find the line perpendicular to the previous equation.

     Finding the slope:

So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of it will be or even easier to manage .

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....

We know the slope is and we could use the ordered pair that they provided us with . The -6 is the x and the -19 will be the y. Now let's plug in and solve.

     Writing the equation:

Now we know all the information needed to write the equation.

Now we just fill it in the formula...

Question 3:

For a parallel equation the slope will be the same in order for them to be parallel to each other.

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....

We know the slope is and we could use the ordered pair that they provided us with . The -8 is the x and the 6 will be the y. Now let's plug in and solve.

     Writing the equation:

Now we know all the information needed to write the equation.

Now we just fill it in the formula...

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !