5y - 100x = 25
5y = 100x + 25
y = 20x + 5
Therefore, the slope is 20 and the y-intercept is 5.
Answer:
The slope for this line is m = 20 and the y-intercept is b = 5
Step-by-step explanation:
In order to identify the values of the slope and y-intercept, the idea is to write the line equation in slope-intercept form that is y = mx+b, where m stands for the slope and b stands for the y-intercept.
Getting into slope-intercept form.
[tex]5y-100x=25[/tex]
Since 100x has a - sign in front, we can apply both sides +100x in order to move 100x to the other side of the equation.
[tex]5y-100x+100x=25+100x[/tex]
[tex]5y=100x+25[/tex]
Then since we have a multiplication operation between 5 and y, we can apply the opposite operation which is division, in order to move that 5 to the other side.
[tex]\cfrac{5y}5=\cfrac{100x+25}{5}[/tex]
Simplifying we get
[tex]y= 20x+5[/tex]
By inspection, we can compare with the formula y = mx+b. So the slope of the line equation is m = 20 and the y-intercept is b = 5.
