Mathematics, 03.02.2020 09:54, torrencek1

Find the x-intercept of the line whose equation is 10x + 3y = 1.

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Geometric figure: Straight Line Slope = 6.667/2.000 = 3.333 x-intercept = 1/10 = 0.10000 y-intercept = 1/-3 = -0.33333Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

10*x-3*y-(1)=0

Step by step solution :Skip Ad
Step 1 :Equation of a Straight Line

1.1 Solve 10x-3y-1 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"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 10x-3y-1 = 0 and calculate its properties

Graph of a Straight Line : Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/-3 so this line "cuts" the y axis at y=-0.33333

y-intercept = 1/-3 = -0.33333 Calculate the X-Intercept :

When y = 0 the value of x is 1/10 Our line therefore "cuts" the x axis at x= 0.10000

x-intercept = 1/10 = 0.10000 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 -0.333 and for x=2.000, the value of y is 6.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.333 - (-0.333) = 6.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 6.667/2.000 = 3.333 Geometric figure: Straight Line Slope = 6.667/2.000 = 3.333 x-intercept = 1/10 = 0.10000 y-intercept = 1/-3 = -0.33333

answered: Guest

Cbecause they are equal so that means it is the same on both sides? ! hope this
Ineed this answered as quickly as you

answered: Guest

i don't have the answer rn but go to math papa. it shows the steps and the answer. hope this : )

step-by-step explanation:

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Find the x-intercept of the line whose equation is 10x + 3y = 1....