How do i find the x intercet for y=6x−7.

Step-by-step explanation:  

y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-6x+7  = 0 and calculate its properties.

Graph of a Straight Line

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -7/1 so this line "cuts" the y axis at y=-7.00000

 y-intercept = -7/1  = -7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/6 Our line therefore "cuts" the x axis at x= 1.16667

 x-intercept = 7/6  =  1.16667

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -7.000 and for x=2.000, the value of y is 5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.000 - (-7.000) = 12.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope     = 12.000/2.000 =  6.000

 Slope = 12.000/2.000 = 6.000

 x-intercept = 7/6 = 1.16667

 y-intercept = -7/1 = -7.00000

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c