The line represented by the equation 3x + 5y = 2 has a slope of -3/5 . Which shows the graph of this equation?

Question

contestada

Respuesta :

parmesanchilliwack parmesanchilliwack · Answer 1 · 2018-12-27T13:38:32+01:00

Answer:

Here, The given equation of the line,

3 x + 5 y = 2 -------(1)

Since, x-intercept of the line is ( 0.667, 0)

And, y-intercept of the line is (0,0.4)

Also, Slope of the line is -3/5.

Since, Put x = -1 in equation (1)

We get, -3 + 5 y =2⇒ 5 y = 5 ⇒ y = 1

And, put x = 4 in equation (1),

We get, 12 + 5 y = 2

⇒ 5y = -10

⇒ y = -2

Thus, the point of the lines are (4,-2) and (-1,1)

Thus, from the above information we can plot the graph of the given line. ( Which is shown below)

orianapineiro orianapineiro · Answer 2 · 2019-11-03T03:02:10+01:00

Answer:

The graph is shown in the attachment.

Step-by-step explanation:

In order to obtain the graph of a linear equation, you have to calculate the x-axis intercept, the y-axis intercept and the slope.

A linear equation has the form:

Y=mX+b

where m is the slope and b is the y-axis intercept.

To calculate the x-axis intercept, replace y=0 in the equation:

3x+5(0)=2

Dividing by 3 both sides:

x=2/3

The point is (2/3,0)

To calculate the y-axis intercept, replace x=0

3(0)+5y=2

Dividing by 5 both sides:

y=2/5

The point is (0,2/5)

You have to graph the intercept points and trace a line containing those points to obtain the graph, which is shown in the attachment.