Solve for y 5x+y=-10

The answer to this question will be

Y=-10-5x

5x+y=-10

Geometric figure: Straight Line

Slope = - 10.000/2.000 = - 5.000

x-intercept = - 10/5 = - 2

y-intercept = - 10/1 = - 10.00000

Rearrange:

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

5*x+y - (-10) = 0

Step by step solution:

Step 1:

Equation of a Straight Line

1.1 Solve 5x+y+10 = 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 5x+y+10 = 0 and calculate its properties

Graph of a Straight Line:

Calculate the Y-Intercept:

Notice that when x = 0 the value of y is - 10/1 so this line "cuts" the y axis at y=-10.00000

y-intercept = - 10/1 = - 10.00000

Calculate the X-Intercept:

When y = 0 the value of x is - 2/1 Our line therefore "cuts" the x axis at x=-2.00000

x-intercept = - 10/5 = - 2

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 - 10.000 and for x=2.000, the value of y is - 20.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of - 20.000 - (-10.000) = - 10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = - 10.000/2.000 = - 5.000

Geometric figure: Straight Line

Slope = - 10.000/2.000 = - 5.000

x-intercept = - 10/5 = - 2

y-intercept = - 10/1 = - 10.00000