how to find slope and y-intercept of y =3x-5

Question

I don't know how to find the slope and y-intercept of the equation y=3x-5. I also need help a faction one. The equation is y= -2/3x + 4 ( / = divided). I need to state the slope and y-intercept.

Then I have to graph the answer.

Answer 1

1) y = 3x-5

Slope of above equation = 3

y intercept = -5

To find x intercept substitute y= 0

0 = 3x-5

3x = 5

x = 5/3

Graph

Equations y = 3x-5 and the points are(0,-5) (5/3,0)

2) y = -2/3x+4

slope  =-2/3

y intercept = 4

to find the x intercept substitute y = 0

0 = -2/3x+4

2/3x = 4

Multiple by 3/2 to each side.

2/3*3/2*x =4*3/2

x = 6

Graph

Equation is y = -2/3x+4 and the points are (6,0) (0,4)

 

 

Answer 2

• The equation is y = 3x - 5.

Compare the above equation with slope - intercept form y = mx + b, where m is slope and b is y - intercept.

Slope = 3, and y - intercept is - 5.

y - intercept is - 5, so the line crosses the y - axis at (0, - 5).

Using slope find the next point.

Slope = rise/run = 3/1

Start at point (0, - 5), move 3 units up and 1 unit right, then plot the point (1, - 2).

Draw the lines through these points.

Graph :

• The equation is y = (- 2/3)x + 4.

Compare the above equation with slope - intercept form y = mx + b, where m is slope and b is y - intercept.

Slope = - 2/3, and y - intercept is 4.

y - intercept is 4, so the line crosses the y - axis at (0, 4).

Using slope find the next point.

Slope = rise/run = - 2/3

Start at point (0, 4), move 2 units down and 3 units right, then plot the point (2, 2).

Draw the lines through these points.

Graph :