Respuesta :

the equation of the line parallel to y=-5/4x+1 is y = -5/4x + 21/4.

What is equation straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

y=-5/4x+1

slope m = -5/4

So the line can be formed by (y-y1) = m (x-x1)

y-(-1) = -5/4 * (x-5)

y+1 = -5x+25/4

y = -5/4x + 21/4

Hence the equation of the line is y = -5/4x + 21/4

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