please help me with this pleasethe direction is write the equations in slope interception form

Please Help Me With This Pleasethe Direction Is Write The Equations In Slope Interception Form class=

Answer :

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

Step 01:

7.

Data

point 1 ( -4 , -2) x1 = -4 y1 = -2

point 2 ( 3 , 3 ) x2 = 3 y2 = 3

Step 02:

Slope formula

m = (y2 - y1) / (x2 - x1)

[tex]m\text{ = }\frac{(3-(-2))}{(3-(-4))}=\text{ }\frac{3+2}{3+4}=\frac{5}{7}[/tex]

Slope-intercept form of the line

y = mx + b

intercept (0 , 1 )

b = 1

m = 5 / 7

y = 5/7 x + 1

The answer is:

y = 5/7 x + 1