Write an equation of the line that is parallel to the given line
y = x + 3 and the given point (5,0).

Question

Write an equation of the line that is parallel to the given line
    y = x + 3 and the given point (5,0).

anonymous · Answer

first, what's the slope of the given line, y = x + 3  ???

anonymous · Answer

is it 1

anonymous · Answer

yes...
so m = 1  and we have a point it goes through, (5, 0).

do you know point-slope form ?

anonymous · Answer

or how about just slope-intercept form, y=mx + b  ???

anonymous · Answer

point-slope form:  $\large y-y_1=m(x-x_1) $,  where m is the slope, $\large (x_1,y_1) $ is the known point

slope-intercept form:  $\large y=mx+b $,   where m is the slope, b is the y-intercept

anonymous · Answer

so the equation would be y=5/0x+1

anonymous · Answer

The equation would be $$y-0=1(x-5)$$

anonymous · Answer

the slope of the given eq. is 1.. by slope intercept form we have y−y1=m(x−x1), now substitute m=1, y1=0, x1=5
the required eq. is y-0=1(x-5)
or x-y=5