Write the equation of a line in slope intercept form that passes through the two points. (-1,3) and (2,9)

Step-by-step explanation:

Finding the Slope:

m = rise/run

The slope is 2.

Finding the y-intercept:

The y-intercept is (0,5).

The equation should be: .

Hope this helps.

y = 3x+3

Step-by-step explanation:

To find the equation in slope intercept form, we first have to find the slope of the two points.

The formula for finding the slope is:

We are given the points:

(-1, 3) and (2, 9)

x1, y1 and x2, y2.

or 3 (the slope).

The slope intercept form is written as:

y= mx + b

y=3x+b

To find b, we can plug in either of the points given. Personally, I like to work with positive numbers. I'll be using the point (2, 9), however, either point will get you to the same answer.

y=3x+b

9=3(2)+b

9=6+b

Now subtract B from both sides.

3=b

Which then leaves us with the equation:

y = 3x+3

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

351.23

step-by-step explanation: