Answer:
The equation is y = -5x + 55
Slope = -5
y-intercept = 55
Step-by-step explanation:
The given table shows the different coordinates of points on a straight line.
The general equation of a line is y = mx + b
where m is the slope and b is the y intercept.
Actually , here only 2 values are needed but there are 4 values given which is just to check whether our line is correct or not.
Substitute values of x and y in the equation.
Put (1,50),
50 = m + b ----------(1)
Put (2,45),
45 = 2m + b -----------(2)
Solve (1) and (2),
Slope , m = -5
y-intercept , b = 55
Hence , the equation is y = -5x + 55.
Answer:
29.50
Step-by-step explanation:
Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10
Coordinate of A are (0,0)
Coordinates of A' are (5,2)
We can find the distance from A to A' using the distance formula:
Thus, rounded to nearest hundredth, AA' is equal to 5.39