Question

Use the point-slope formula to write an equation of the line that passes through 4, 2 and 6,5.Write the answer in slope-intercept form (if possible).

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

point 01 (4 , 2)

point 02 (6 , 5)

Step 02:

equation of the line:

slope:

`m=(y2-y1)/(x2-x1)=(5-2)/(6-4)=(3)/(2)`

Point-slope form of the line

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

`\begin{gathered} (y-2)=(3)/(2)(x-4) \\ \\ (y-2)=(3)/(2)x\text{ -}(12)/(2) \\ \\ y-2=(3)/(2)x-6 \\ \\ y=(3)/(2)x-6+2 \\ \\ y=(3)/(2)x-4 \end{gathered}`

The answer is:

y = 3/2 x - 4