4x-6y=14 slope and y intercept?

m = 0.667

Step-by-step explanation:

Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.

Calculate the graph plot coordinates for 4x - 6y = 14

Solve 4x - 6y = 14 for x and also for y.

Calculate and show the solution for the slope of 4x - 6y = 14

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

4x - 6y = 14

4x - 6(0) = 14

x1 = 3.5    y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x - 6y = 14

4(0) - 6y = 14

y2 = -2.333    x2 = 0

Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:

(x1,y1) and (x2,y2)

(3.5,0) and (0,-2.333)

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14

m = (y2 - y1)/(x2 - x1)

m = (-2.333 - 0)/(0 - 3.5)

m = 0.667

hope this is correct! c:

XY = 2 units

Step-by-step explanation:

Given that :

ΔEFG ≅ ΔXYZ

Then, segments :

EF = XY, FG = YZ and EG = XZ

GIVEN THAT :

E (0, 0), F (0, 2), and G (3, 0)

We can find the distance between coordinates E (0, 0), F (0, 2) to get the measure of XY since they are both congruent.

EF = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

x1 = 0, y1= 0, x2 = 0, y2 = 2

EF = sqrt[(0 - 0)^2 + (2 - 0)^2]

EF = sqrt[ 0 + 4]

EF = 2

SINCE EF = XY

XY = 2 units