What is the equation of the line that is perpendicular to the like y=-4x + 7 and passes through the point (8,2)?

Step-by-step explanation:

Given equation of line:

To find the equation of line perpendicular to the line of the given equation and passes through point (8,2).

Applying slope relationship between perpendicular lines.

where and are slopes of perpendicular lines.

For the given equation in the form the slope can be found by comparing with standard form.

∴

Thus slope of line perpendicular to this line would be given as:

∴

The line passes through point (8,2)

Using point slope form:

Where and

So,

Using distribution.

Adding 2 to both sides.

Thus the equation of line in standard form is given by:

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !