Respuesta :
parallel line so gradient stays the same at 25x
y=25x+c
substitute in the point
-7= 25(2) +c
-7 = 50 + c
(-7)-50= -57
y=25x-57
hope this helps!
The equation of the line in slope intercept form is y = 25x + 177.
What is equation of a line?
The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The equation is y = 25x−12 -------- (1)
The point is (−7,2)
The general form of equation of line in slope intercept form is
[tex]y=mx+c[/tex]
On comparing this equation with equation, we get
slope, m = 25
The given line is parallel to the equation of line, so slope is same.
The line passes through the point (x1, y1) is (−7,2).
Thus the equation of line in slope intercept form is
[tex]y-y1=m(x-x1)[/tex]
⇒ [tex]y-2=25(x-(-7))[/tex]
⇒ [tex]y-2=25(x+7)[/tex]
⇒ [tex]y-2=25x+175[/tex]
⇒ [tex]y=25x+175+2[/tex]
⇒ [tex]y=25x+177[/tex]
Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.
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