Find the equation of the line with slope −5 and that contains the point (−9,−5). Write the equation in the form y=mx+b and identify m and b. Find the equation of the line that contains the points (2,4) and (10,2). Write the equation in the form y=mx+b and identify m and b.

Answer & Step-by-step explanation:

Slope-intercept form:

m is the slope and b is the y-intercept. Insert the given slope:

To find the y-intercept, take the given coordinate point and insert:

Solve for b:

Simplify multiplication:

Subtract 45 from both sides:

The y-intercept is -50. Insert:

Use the slope formula for when you have two points:

The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:

The slope is . Insert:

Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:

Solve for b:

Simplify multiplication:

Re-insert:

Subtract b from both sides:

Subtract 4 from both sides:

Simplify subtraction:

Re-insert:

Divide both sides by -1 to make the variable positive (can be seen as -1b):

The y-intercept is .

Write the equation:

:Done

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

17

step-by-step explanation:

51/3=17

thus 17 is your answer.