Answer:
25. Not a solution
26. Yes a solution
27. y= 2/3 x
28. y=3x+16
Step-by-step explanation:
25. The solution to a linear equation is the point (x,y). To find if an (x,y) is a solution, substitute it into the equation and see if it works.
y=4x-4 and (8,3)
3=4(8)-4
3=32-4
3=28
False
Not a solution.
26. Repeat 25 to solve 26 with y=5x-5 and (0,-5)
y=5x-5 and (0,-5)
-5=5(0)-5
-5=0-5
-5=-5
True
Yes a solution.
27. This line crosses through the origin is proportional and therefore has the form y=mx. It also has a gentle slant meaning that is less than 1/2 and goes in a positive direction. This means it is y=2/3 x.
28. Use inverse operations to rearrange the equation.
y-3x=16
y=16+3x
y=3x+16
Answer:
y=8x-29
Step-by-step explanation:
Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.
Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).
x=4, y=3... so 3=8(4)+b
Now you can solve for the variable b to find the y-intercept.
3=8(4)+b, multiply...
3=32+b, subtract 32 on both sides...
-29=b
Therefore, the y-intercept, or b, is -29.
The equation would be y=8x-29
It only the last one.
Hope this helps :)