MATH SOLVE

3 months ago

Q:
# Graph the line for y+1=β3/5(xβ4)on the coordinate plane.

Accepted Solution

A:

Inorder to the line, choose 2 y-intercepts, for example y1=0 and y2=1, then substitute each of them in the equation.

for y1 = 0:

0 + 1 = -3/5x + 12/4

3/5x = 12/4 - 1

3/5x = 2

x1 = 10/3

A(10/3;0)

for y2 = 1

1 + 1 = -3/5x + 12/5

3/5x = 12/5 - 2

3/5x = 2/5

x2 = 2/3

B(2/3;1)

Place the two resulting points exactly on the plane, and match them, then prolong the line.

for y1 = 0:

0 + 1 = -3/5x + 12/4

3/5x = 12/4 - 1

3/5x = 2

x1 = 10/3

A(10/3;0)

for y2 = 1

1 + 1 = -3/5x + 12/5

3/5x = 12/5 - 2

3/5x = 2/5

x2 = 2/3

B(2/3;1)

Place the two resulting points exactly on the plane, and match them, then prolong the line.