What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6? y = –3/4x + 8 y = –3/4x + 6 y =4/3 x – 8 y= 4/3x - 6

Step 1

Find the slope of the given line

Let

we know that

the slope between two points is equal to

substitute the values

Step 2

Find the slope of the line perpendicular to the given line

we know that

if two lines are perpendicular

then

the product of their slopes is equal to minus one

so

we have

------> slope of the given line

Find the value of m2

substitute

Step 3

Find the equation of the line

we know that

the equation of the line into point-slope form is equal to

we have

x-intercept is equal to --------> is the point

substitute in the formula

therefore

the answer is the option

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)