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.

answer: 7

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form