What are the slope and the y-intercept of the graph of the equation 4x-2y=5?
put the equation in slope intercept form
y=mx+b
y=2x-2.5
slope is two. check my work.
To find the slope and y-intercept of the graph of the equation 4x - 2y = 5, we need to rearrange the equation into slope-intercept form, which is in the form y = mx + b, where "m" represents the slope and "b" represents the y-intercept.
Start by isolating the y-term on one side of the equation:
4x - 2y = 5
-2y = -4x + 5 (Subtract 4x from both sides)
y = 2x - (5/2) (Divide through by -2)
Now the equation is in the slope-intercept form y = mx + b, where the slope, "m," is the coefficient of x, and the y-intercept, "b," is the constant term. In this case, the slope is 2, and the y-intercept is -(5/2) or -2.5.
So, the slope of the graph is 2, and the y-intercept is -2.5.