The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
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Answer:
I think the right answer would be 7
Step-by-step explanation:
We got-ta use the equation: CA * BA = DA²
CA = 15 + BA
DA² = 8² = 64
=> (15 + BA) BA = 64
Subtract 15 from each side:
BA(BA) = 49
BA² = 49
Now take the square root of each side
BA = 7
Hope this helps!
Answer:
d. $125, $135, $150, $130
Step-by-step explanation:
$125, $135, $150, $130
Range of the above set of numbers:
$150 - $125 = $25
Mean of numbers:
$125 + $135 + $150 + $130 = $540
540 ÷ 4 = $135
