Write the equation of the line perpendicular to the given line that passes through the given point in slope-intercept-form. algebra 1 question #46

I'm pretty sure the answer is y=-1/4x+6

Slope intercept form of line: y=4x+21

To make an equation perpindicular to that line the slope is made opposite to the original. So the slope of 4, since it's a whole number, would become a fraction, and since the slope of 4 is positive the perpindicular line will have a negitive slope. 4 goes to -1/4.

Then you just plug in the point (4,5) to find the y-intercept.

5=-1/4(4)+b

5=-1+b

6=b

so your final answer is y=-1/4x+6

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.