Write an eqation pf the line that passes through (-2,3) and is perpendicular to the line y= 2x - 1

x=1

Step-by-step explanation: Look at highlight_red%28+3%2Ax+%29-highlight_red%28+x+%29%2B2=4.

Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%283-1%29%2Ax+%29

It becomes highlight_green%28+%283-1%29%2Ax+%29%2B2=4.

Look at %28highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax%2B2=4.

Added fractions or integers together

It becomes %28highlight_green%28+2+%29%29%2Ax%2B2=4.

Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29%2B2=4.

Remove unneeded parentheses around factor highlight_red%28+2+%29

It becomes highlight_green%28+2+%29%2Ax%2B2=4.

Look at 2%2Ax%2B2=highlight_red%28+4+%29.

Moved these terms to the left highlight_green%28+-4+%29

It becomes 2%2Ax%2B2-highlight_green%28+4+%29=0.

Look at 2%2Ax%2Bhighlight_red%28+2+%29-highlight_red%28+4+%29=0.

Added fractions or integers together

It becomes 2%2Ax%2Bhighlight_green%28+-2+%29=0.

Look at 2%2Ax%2Bhighlight_red%28+-2+%29=0.

Removed extra sign in front of -2

It becomes 2%2Ax-highlight_green%28+2+%29=0.

Look at highlight_red%28+2%2Ax-2+%29=0.

Solved linear equation highlight_red%28+2%2Ax-2=0+%29 equivalent to 2*x-2 =0

It becomes highlight_green%28+0+%29=0.

Result: 0=0

This is an equation! Solutions: x=1.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.