Answer: <em><u>2х+5y=25= Slope = -0.800/2.000 = -0.400
</u></em>
<em><u> x-intercept = 25/2 = 12.50000
</u></em>
<em><u> y-intercept = 25/5 = 5</u></em>
<em><u>so slope form =0,400</u></em>
<em><u>x intercept form = 12.50000</u></em>
<em><u>y intercept =5</u></em>
<em><u>and the answer to 2x+3y=-1= Slope = 1.333/2.000 = 0.667
</u></em>
<em><u> x-intercept = 1/2 = 0.50000
</u></em>
<em><u> y-intercept = -1/3 = -0.33333</u></em>
Step-by-step explanation: 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 2x+5y-25 = 0 and calculate its properties
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 25/5 = 5
When y = 0 the value of x is 25/2 Our line therefore "cuts" the x axis at x=12.50000
x-intercept = 25/2 = 12.50000
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 5.000 and for x=2.000, the value of y is 4.200. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.200 - 5.000 = -0.800 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.800/2.000 = -0.400
Geometric figure: Straight Line
Slope = -0.800/2.000 = -0.400
x-intercept = 25/2 = 12.50000
y-intercept = 25/5 = 5
