Write the equation of line in slope-intercept form, which is parallel to y=−2x+5 and passing through the point (1, −4)

y = −2x - 2

Step-by-step explanation:

The new equation has the same form as the given equation y=−2x+5; only the constant (' 5 ') will be different.  Take the x- and y-coordinates of the given point (1, -4) and substitute them into y = -2x +  C to find C:

-4 = -2(1) + C

-2  = C

and therefore the desired equation in slope-intercept form is  y = −2x - 2

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