Question

Graph the line for y+1=−3/5(x−4) on the coordinate plane.

Answer 1

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.

Answer 2

See figure attached

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.