Question

Need help with number 1 please show steps too please Thank you

Answer 1

Step One

Write the point, slope form of the equation.

Givens

m (slope ) = 3

point = (2,5)

Equation

The general form for the equation is

(y - y1) = m(x - x1)

y1 = 5

x1 = 2

(y - 5) = 3(x - 2)   <<<<< Answer point Slope.

Step Two

Solve Step 1 for the y intercept, slope form of the equation. All you do is remove the brackets of both sides of the equation.

y - 5 = 3x - 2*3

y - 5 = 3x - 6         Add 5 to both sides.

y = 3x - 6 + 5

y = 3x - 1

Note: You must write the formula so that y has no number in front of it and the number with no letter is on the same side as the term containing x. So -1 is on the same side of the equal sign as 3x.

Check

There are a couple of ways you could check this. One of the ways is to develop the y intercept and the slope form directly.

What you have so far.

y = 3x + b where b is the y intercept. Use the point to solve for b.

Givens

y = 5

x = 2

5 = 3(2) + b

5 = 6 + b      Subtract 6 from both sides.

5 - 6 = b

b = - 1

y = 3x - 1

And it checks.