Which is the equation in the slope-intercept form for the line that passed through (2, 8) and it is perpendicular to 4x + 2y= 6?

Step-by-step explanation:

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

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

By definition, when two lines are perpendicular, their slopes are opposite reciprocals.

Then, to find the slope of the equation  of the line given, you can solve for y:

As you can see, the slope of this line is -2.Then, the slope of the line that is perpendicular to it, must be:

Substitute the slope and the point given, into the equation  and solve for b:

Therefore, the equation of this line is:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation: