7x+8y= 8 Slope Y intercept
2 answers:
Answer:
y- intercept= 1
Step-by-step explanation:
Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.
7x +8y= 8
8y= -7x +8
Divide by 8 on both sides:
Thus, the slope is and the y-intercept is 1.
Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.
7x +8y= 8
When x= 0,
7(0) +8y= 8
8y= 8
y= 8 ÷8
y= 1
Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).
Note: slope and gradient have the same meaning and can be used interchangeably
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Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do
and the student tickets sold were 2x the adult tickets, we can do
We can replace s in the first equation adding to 243 with 2a
Step 2:
Solve for a. We can divide both sides by 3.
Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!
And...
So, 81 must be the answer!