Apair of linear equations is shown below: y = -x + 1 y = 2x + 4 which of the following statements best explains the steps to solve the pair of equations graphically? (4 points) a) on a graph, plot the line y = -x + 1 which has y intercept = -1 and slope = 1; and y = 2x + 4 which has y intercept = 2 and slope = 4; and write the coordinates of the point of intersection of the two lines as the solution. b) on a graph, plot the line y = -x + 1 which has y intercept = 1 and slope = 1; and y = 2x + 4 which has y intercept = 1 and slope = 4; and write the coordinates of the point of intersection of the two lines as the solution. c) on a graph, plot the line y = -x + 1 which has y intercept = 1 and slope = -1; and y = 2x + 4 which has y intercept = -2 and slope = 2; and write the coordinates of the point of intersection of the two lines as the solution. d) on a graph, plot the line y = -x + 1 which has y intercept = 1 and slope = -1; and y = 2x + 4 which has y intercept = 4 and slope = 2; and write the coordinates of the point of intersection of the two lines as the solution.

The correct option is D.

Step-by-step explanation:

The given equations are

The slope intercept form of a line is

Where, m is slope and b is y-intercept.

In equation (1),

Here, m=-1 and b=1. It means the slope of the line is -1 and y-intercept is 1.

In equation (1),

Here, m=2 and b=4. It means the slope of the line is 2 and y-intercept is 4.

The steps to solve the pair of equations graphically are:

Step 1: On a graph, plot the line y = -x + 1 which has y intercept = 1 and slope = -1; and y = 2x + 4 which has y intercept = 4 and slope = 2.

Step 2: Write the coordinates of the point of intersection of the two lines as the solution.

Therefore the correct option is D.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

y = 3x+4

step-by-step explanation:

to find the slope

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

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4