Question

I need help, can someone please help me??

Answer 1

A. y + 4 = -3(x - 3) B. y - 5 = -3/4(x - 4)

Explanation:

A. m=-3, (3,-4)

y-(-4)=-3(x-3)

y+4=-3(x-3)

B. m=-3/4, (4,5)

y-5=-3/4(x-4)

Answer 2

3) y = -3x-5

4) 5y = -3x+37

Explanation:

3) the equation of a lime is expressed as y = mx+c where;

m is the slope of the line.

c is the intercept.

Given the slope m = -3.

Since the line is passing through the point (3,-4), we will substitute the values of the point (x,y) and the slope m into the equation of the line to get the intercept c to have;

y= mx+c

Since x = 3, y = -4

-4= -3(3)+c

-4 = -9+c

c = -4+9

c = 5

Substituting the value of the slope and the intercept into the equation gives

y = -3x+5 (which gives the required equation)

4) similarly as above

y = mx+c

Since the line has a slope of -3/4 and passes through the point (4,5)

m = -3/5

To get c, we will substitute the point (4,5) and the slope m = -3/4 into the equation to have:

5 = -3/5(4)+c

5 = -12/5+c

c = 5+12/5

c = (25+12)/5

c = 37/5

Substituting m= -3/5 and c = 37/5 into the equation of the line we have;

y =( -3/5)x+37/5

Multiplying through by 5 gives

5y = -3x+37 (which gives the required equation)