Question

Write the equation of the line passing through the points (2, 1) and (3,4). Write your final answer in slope-intercept form.

Step 1: Find the slope (m).
Step 2: Use point-slope form.
Step 3: Slope-Intercept form.

Answer 1

y = 3x - 5

Explanation:

Step 1 : find the slope using

m = y_2 - y_1 / x_2 - x_1

We are provided with Two points

( 2, 1) ( 3 , 4)

x_1 = 2

y_1 = 1

x_2 = 3

y_2 = 4

Inserting the values given

m = 4 - 1 / 3 - 2

= 3 / 1

= 3

Slope m = 3

Step 2 : using a point slope form

y - y_1 = m( x - x_1)

Using point ( 3 , 4)

x_1 = 3

y_1 = 4

m = 3

Inserting the values

y - 4 = 3 ( x - 3)

Opening the bracket with 3

y - 4 = 3x - 9

step 3 : using slope-intercept form

y = mx + C

y - intercept - y

m - slope

x - intercept - x

C - intercept

y - 4 = 3(x - 3)

y - 4 = 3x - 9

following the equation of line

y = mx + C

y = 3x - 9 + 4

y = 3x - 5

Leaving the answer in slope - intercept form