Answer:
y = 2x - 6
Step-by-step explanation:
The slope-intercept equation is y = mx + b
where m is the slope and b is the point on the y axis when x=0 which is called the y intercept.
The slope is the rise over run.
Rise is the difference in the y values.
Run is the difference in the x values.
Rise = difference between -6 and -10 which is 4 units
Run = difference between 0 and -2 which is 2 units.
The slope would then be 4 over 2 or 4/2 which can be reduced down to 2.
If you visualize the line on the graph, the line slopes upward from left to right. So the slope must be a positive number.
Slope = 2
The y intercept is when x=0. One of the coordinates (0, -6) gives you that answer. When x=0, y = - 6. This is b.
Your equation would be y = 2x - 6
Answer:
<h3>
5</h3>
Step-by-step explanation:
z - any integer
2z+1 - any odd integer (the smaller one)
2z+1+2 = 2z+3 - odd integer consecutive to 2z+1 (the larger one)
2(2z+1) - twice the smaller number
2(2z+1) - 1 - one less than twice the smaller number
2(2z+1) - 1 = 2z + 3
4z + 2 - 1 = 2z + 3
2z = 2
z = 1
2z+3 = 2•1+3 = 5
check:
2z+1 = 2•1+1 = 3,
2(2z+1)-1 = 2(2•1+1)-1 = 2•3-1 = 5 = 2z+3
Let x represent the length of the shortest side. Then the perimeter is
.. x +2x +(x +13) = 149
.. 4x = 136
.. x = 34
2x = 68
x+13 = 47
The lengths of the sides are 34, 47, and 68 ft.
First you want to combine like terms. on the first equation we can combine 2x+x=3x. So now we have 3x-3. On the right side we can combine 12+1 so we now have -x+13. Now we will take add an x to -x so it's 0 but we have to do it to the other side as well so now we have 4x-3=13. now we will add three to -3 to make it 0 but again we have to do it to the other side. Now we have 4x=16. We want to figure out what x is so we now divide 4x by 4 so we are just left with x but we need to do it to the other side so your answer is x=4
