Y Intercept Slope Form

Introduction on y intercept slope form:

If the line passes through the points A (x1, y1) and B (x2, y2) and then its slope is,

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

The slope is defined as the relation between the perpendicular line distance and flat distance between any two points. The slope is denoted by letter ‘m’.

m=y/x where y and x distances between the two points

The point slope equation of a line is,

Y=mx+b

Where x and y is the points, m is the slope and b is the Y-intercept

The Y intercepts are taking place when horizontal values are zero.

Example Problem on Y Intercept Slope Form:

Example 1

Given point (5, 2) and the slope is 4. Find the equation of this line and the Y intercept.

Solution:

Point (5, 2)? (x1, y1)

Slope m= 4.

Equation of the slope point form is

y-y1 = m (x-x1)

y-2=4(x-5)

y-2=4x-20 (using distribute property)

y-2+2=4x-20+2 (Add 2 on both side)

y=4x-18.

Slope m=4. Y intercepts b=-18.

The line of the equation is y=4x-18

Example 2:

Given point (7, 3) and (-2, 5). Find the equation of this line and the Y intercept.

Solution:

Points (7, 3) ? (x1, y1)

(-2, 5) --- > (X2, y2)

To find the equation of line is,

y-y1 = m (x-x1)

Step 1: Take points (7, 3) (-2, 5)

Slope m = y2-y1/ x2-x1

m=5-3/-2-7 ? 2/-9

Step 2: Now take slope m=-2/9 and point (-2, 5)

y-y1 = m (x-x1)

y-5=-2/9(x-(-2))

Step 3: Simplification

y-5=-2/9x+4/9 (Using distributive property)

y-5+5=-2/9x+0.44+5 (Add 5 on both side)

y=-2/9x+5.44.

The equation is in slope intercept form

Slope m=-2/9 and Y intercept b=5.44

The line of equation is y=-2/9x+5.44

some more Examples on Y Intercept Slope Form:

Example3

Find the Y intercepts of the function f(x) =3.5x+25.

Solution:

To find the Y intercept, plug x=0

F (0) = 3.5(0)+25

=25

This means the Y intercepts taking place at (0, 25)

Understanding Perpendicular Line Equation is always challenging for me but thanks to all math help websites to help me out.

Example 4:

Find the Y intercepts of the function f(x) =1.2x+3.5

Solution:

To find the Y intercept, plug x=0

F(0)=1.2(0)+3.5

=3.5

This means the Y intercepts taking place at (0, 3.5)