Ineed with question 3 b-d, i figured out the previous questions but i somehow cant figure the rest out. is there anybody that could me with it?

may i get reply by sunday before midnight, you kind students of

3. b) y = (1/2)x + 1

3. c) y = -2x

3. d) y = -2x + 3

Step-by-step explanation:

The equation of a line is y = mx + b.

x and y are points on the graph.

m is the slope.

b is the y-intercept.

When a slope is negative, it is a negative value (like -1, -7 or -2/3). When a slope is positive, it is a positive value (like 1, 7 or 2/3).

When a line is steep, is has a greater slope and a greater slope value in an equation. (Think about hiking: a steeper hill is harder to climb. The floor is least steep with a slope of about 0.)

The y-intercept occurs when x = 0. On a graph, the line hits the y-axis.

In the equation y = x, the slope is 1.

3. b

The slope is half as that of the line y = x. Half of 1 is 1/2.

m = 1/2  <=this number is positive already

We know the y-intercept is 1 because x=0 in the point.

Put the slope and y-intercept back into the equation:

y = (1/2)x + 1

3. c

The slope is twice as that of the line y = x. Double of 1 is 2.

m = 2  <=this number needs to be negative. m = -2

We know the y-intercept is 0 because x=0 in the point. We do not need to write the y-intercept if it's 0.

Put the slope into the equation:

y = -2x

3. d

The slope is half as that of the line y = x. Half of 1 is 1/2.

m = 1/2  <=this number needs to be negative. m = -1/2

The given point, (0,3), shows the y-intercept is 3 because x = 0.

Put the slope and y-intercept back into the equation:

y = -2x + 3

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: