Respuesta :
Answer:
The equation would be y = 8x - 38
Step-by-step explanation:
To find the equation of this new line, we first need to identify the slope of the first line. In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation 8. Since parallel lines have the same slope, our new slope will also be 8.
Given that and the point, we can solve for the equation using point-slope form.
y - y1 = m(x - x1)
y - 2 = 8(x - 5)
y - 2 = 8x - 40
y = 8x - 38
The equation of the line in point slope form is y = 8x - 38
The formula for calculating the equation of a line in point slope form is expressed as:
[tex]y-y_0=m(x-x_0)[/tex]
Given the equation of a line as y = 8x - 8
Slope m = 8
Point = (5, 2)
Get the required equation in point slope form as shown:
[tex]y-2=8(x-5)\\y-2 = 8x - 40\\y = 8x - 40 + 2\\y =8x-38[/tex]
Hence the equation of the line in point slope form is y = 8x - 38
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