Question 409317
For the x-intercept, we should separate the x-coefficient from the whole numbers.
REMEMBER: When finding the "x-intercept," y is always equal to 0.
{{{2x - 7 = 14}}}
{{{2x = 14 + 7}}}
{{{2x = 21}}}
{{{x = 21/2}}}

{{{x = (21/2) or 10.5}}}
The x-intercept then occurs at (10.5, 0).

For me, finding the slope of a line is way easier than solving for (x,y) for the plotting of points. The slope is always the numerical coefficient of x when y is on the other side of the equation. Like here:
{{{y = 2x - 7 -14}}}
{{{y = 2x - 21}}}

The slope is 2 or 2/1 in fraction, which means a rise of 2 (up) and a run of 1 (right) for every point.

{{{ graph( 750, 750, -11.5, 11.5, -22, 22, 2x-21) }}}