Answer:
y=-2x+7
Step-by-step explanation:
Hi there!
The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
We are given the slope (-2) and a point (3,1)
We can immediately substitute -2 as the slope in the equation
y=-2x+b
Now we need to find b
Because the line will pass through the point (3,1), we can use it to solve for b
Substitute 3 as x and 1 as y
1=-2(3)+b
multiply
1=-6+b
add 6 to both sides to isolate b
7=b
Substitute 7 as b into the equation
The line is <u>y=-2x+7</u>
Hope this helps!
Cost per ticket for the rides = $1.50.
a) Let us assume the number of ride tickets = x.
Total cost of x number of rides = y.
Total amount spent = $48.75.
Amount spent on 20 tickets = 20 × 1.50 = $30
<em>Fair admission charge = Total amount spent - Amount spent on 20 tickets</em>
<em> = $48.75 - $30 = $18.75.</em>
Let us apply slope-intercept form y=mx+b to get the equation.
Total cost of x number of tickets at the rate $1.50 each ticket = 1.50x.
To<em>tal cost of fair = Total cost of x number of tickets + Fair admission charge.</em>
<h3>b) y = 1.50x + 18.75.</h3>
Answer:
Longest side = 13 inches
Step-by-step explanation:
Perimeter of triangle = 30 inches
x + 4x - 8 + 2x +3 = 30
x + 4x + 2x - 8 + 3 = 30
7x - 5 = 30
7x = 30 + 5
7x = 35
x = 35/7
x = 5
Longest side is the hypotenuse.
Longest side = 2x + 3 = 2*5 + 3 = 10 + 3 = 13 inches
