Calculate the distance between A(4,3) and B(-1, 6)

Step-by-step explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the given information,

x2 = - 1

x1 = 4

y2 = 6

y1 = 3

Therefore,

Distance = √(- 1 - 4)² + (6 - 3)²

Distance = √(- 5² + 3²) = √(25 + 9) = √34

Distance = 5.83

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

25% is the answer