Question

Graph the line with the equation y = - 3/5x - 3

Answer 1

Explanation:

y=−

5

3x

​

−3

2 Add 33 to both sides.

y+3=-\frac{3x}{5}

y+3=−

5

3x

​

3 Multiply both sides by 55.

(y+3)\times 5=-3x

(y+3)×5=−3x

4 Regroup terms.

5(y+3)=-3x

5(y+3)=−3x

5 Divide both sides by -3−3.

-\frac{5(y+3)}{3}=x

−

3

5(y+3)

​

=x

6 Switch sides.

x=-\frac{5(y+3)}{3}

x=−

3

5(y+3)

​

Answer 2

we have

y = - 3/5x - 3

To graph the line we need at least two points

so

Find the intercepts

step 1

Find the y-intercept (value of y when the value of x is zero)

For x=0

y=-(3/5)*(0)-3

y=-3

the y intercept is the point (0,-3)

step 2

Find the x-intercept (value of x when the value of y is zero)

For y=0

0=-(3/5)x-3

(3/5)x=-3

x=-5

so

the x-intercept is the point (-5,0)

step 3

Graph the line

Plot the intercepts and join them to draw the line

using a graphing tool

see the attached figure

please wait a minute