STATE THE SLOPE AND Y-INTERCEPT OF THE EQUATION 5X-2Y=-10
Slope-intercept form
y = mx + b
m = slope
b = y-intercept
5X - 2Y = -10
2y = 5x + 10
y = 5/2 x + 5
Slope m = 5/3
y-intercept b = 5
To find the slope and y-intercept of the equation 5x - 2y = -10, we need to rearrange the equation into slope-intercept form, which has the general form y = mx + b, where m represents the slope and b represents the y-intercept.
Let's rearrange the given equation:
5x - 2y = -10
First, let's move the 5x term to the other side of the equation by subtracting 5x from both sides:
-2y = -10 - 5x
Next, let's isolate the y term by dividing the entire equation by -2:
y = (-10 - 5x) / -2
Simplifying the equation, we get:
y = (5x + 10) / 2
Now we can see that the equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
From the equation, we can identify the slope and y-intercept:
The slope (m) is the coefficient of x, which is 5.
The y-intercept (b) is the constant term, which is 10/2 = 5.
Therefore, the slope of the equation 5x - 2y = -10 is 5 and the y-intercept is 5.