Answer:
A line includes the points (4, 8) and (3, 5) whose equation in slope-intercept form will be :

Step-by-step explanation:
The point slope form: 

where : m = Slope of the line

A line includes the points (4, 8) and (3, 5).The equation of the line will be:




(y=mx+c), where c is intercept at y axis.
The above equation represents slope-intercept form of the line.
Answer:
the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
Step-by-step explanation:
Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:


And its value is 180:

Multiplying by 2:

Operating:

Factoring:

The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Let's separate this absolute value equation into two different equations.
x + 1 = 3.
Subtract 1 from each side
x = 2.
x + 1 = -3
Subtract 1 from each side
x = -4
The two solutions are x = 2 and x = -4