-10x + y = 4 help i need the steps on how to solve this pls
2 answers:
Answer:
slope = -10
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-10*x-y-(4)=0
1.1 Pull out like factors :
-10x - y - 4 = -1 • (10x + y + 4)
2.1 Solve -10x-y-4 = 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-y-4 = 0 and calculate its properties
Notice that when x = 0 the value of y is 4/-1 so this line "cuts" the y axis at y=-4.00000
y-intercept = 4/-1 = -4.00000
When y = 0 the value of x is 2/-5 Our line, therefore "cuts" the x-axis at x=-0.40000
x-intercept = 4/-10 = 2/-5 = -0.40000
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 -4.000 and for x=2.000, the value of y is -24.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -24.000 - (-4.000) = -20.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -10
i hope this helps
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