Respuesta :
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.
Answer:
See figure attached
Step-by-step explanation:
You need two points to plot a line.
To get the coordinates of a point, simply assume the value of a variable and isolate the other one. For example, assume y = 0, then:
(0)+1=−3/5(x−4)
1 * (-5/3) = x - 4
-5/3 + 4 = x
x = 7/3 ≈ 2.333
Then point (2.33,0) is on the line.
Now assume x = 0:
y+1=−3/5( (0)−4 )
y + 1 = (-3/5)*(-4)
y = 12/5 - 1
y = 7/5 = 1.4
Then point (0,1.4) is on the line. With the two points located, draw the line which pass through them.
