You are looking for the slope and y intercept to complete the equation of the line.
The equation of a line is in something called slope intercept form. That looks like y = mx + b. m represents the slope (measure of how steep a line is, and in which direction it is going) and b represents the y intercept (y coordinate when x = 0). You need to find the slope and y intercept to complete the equation.
First, find the slope. The formula for slope is: m = (y2 - y1)/(x2 - x1) where m is the slope and (x1, y1) and (x2, y2) are points.
Pick any two points on the graph. I will use (-2, 0) and (0, 4). Now use these values to find the slope.
m = (4-0)/(0+2) = 4/2
m = 2
m = 2 means that for every two units the line goes up on the y axis, it moves one to the right on the x axis. 2 will go in your first box.
Now find the y intercept. The y intercept is where the line crosses the y axis - it is the y coordinate when x = 0. Here when x = 0, y = 4, so your y intercept is at 4. 4 goes into your second box.
The equation is y = 2x + 4
Answer:
the value of x = 3
Step-by-step explanation:
-3 (-5x+2)+x-3=39
open the bracket by multiply each by -3
15x-6+x-3=39
collect the like terms
16x-9=39
16x=39+9
16x=48
divide both sides by 16
x=3
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Answer:
Step-by-step explanation:
We are going to assume that the show is sold out. If 66 student tickets were sold, we only have 74 adult tickets to sell. Based on that information, we then have to use an inequality to find out if the number of adult tickets we have to sell to meet our money requirements is more than the amount of seating we have left after 66 seats were taken by students. Our inequality looks like this:
5.50(66) + 7.50(a) ≥ 910 and
363 + 7.50a ≥ 910 and
7.50a ≥ 547 so
a ≥ 73
In order to meet our money requirement, we have to sell 73 adult tickets. Since we have 74 seats left, we are good.
y = x + p - q
To make the formula's subject x, we must take the rest of the right hand side of the equation to the other side. So the answer is,
x = y - p + q
