SOLUTION: what is the slope of the line whose equation is 2y=5x+4?
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Question 88197: what is the slope of the line whose equation is 2y=5x+4?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
2y = 5x + 4
.
The slope-intercept form of a linear equation is:
.
y = mx + b
.
In this form, m is the multiplier of x and is the slope of the line graph of the equation.
b is the value of y where the line graph crosses the y-axis.
.
If you can work the given equation into the slope-intercept form, you will immediately
have the slope of the graph. The slope will be the number that multiplies the x.
.
To get the given equation into the slope-intercept form, divide both sides (all terms)
of the given equation by 2. When you do that division the given equation becomes:
.
y = (5/2)x + 4/2 = (5/2)x + 2
.
You can now tell two things about the line graph. Its slope (the multiplier of x) is 5/2
and the line graph crosses the y-axis where y = 2. The slope can also be written as 2.5
or 2 1/2.
.
Hope this gives you some insight into the slope-intercept form of an equation and how
it can be used to find the slope of the graph and the point where the graph crosses the
y-axis.
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