Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula 
. Substitute the x and y values of points A and B into the formula and simplify:
So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation 
, write the equation of the line. Remember that the number in place of 
, or the coefficient of the x-term, is the slope. So, substitute 3 for . Also, remember that 
represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:
Answer:
x=2
Step-by-step explanation:
5(x-5)=3(x-7)
Distribute
5x-25 = 3x-21
subtract 3x from each side
5x-25-3x = 3x-21-3x
2x-25 = -21
Add 25 to each side
2x-25+25 = -21 +25
2x=4
Divide by 2
2x/2 =4/2
x=2
Answer:
X=7 and y=6
Step-by-step explanation:
Y=-2x + 20.......eq(i)
6x-5y=12.....eq(ii)
Now, putting y= - 2x +20 in eq (ii)
6x - 5(-2x + 20)=12
6x + 10x - 100 = 12
16x=12+100
X=112 /16
X=7
Then, putting x=7 in eq (i)
Y=-2*7 +20
=-14 +20
=6
Answer:
she can buy 5 roses
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
