Question

Helpp

i need it rnn
and if u could plot the point too thats good

js those for now tyy

Answer 1

Explanation:

5.

y = 3

yes, that's it for this here too.

it means that any value for x is valid, and all have the assigned y value 3.

6.

remember, the usual equation for a line is

y = ax + b

"a" being the slope, "b" the y-intercept (the y-value when x = 0).

we see the y-value for x = 0 is 3. that is "b".

for the slope we need 2 points and calculate the x- and y- coordinate differences.

always look for points with integer coordinates.

I see e.g. (0, 3) and (3, 2).

x changes by +3 (from 0 to 3).

y charges by -1 (from 3 to 2).

the slope "a" = -1/+3 = -1/3

the equation is then

y = (-1/3)x + 3

7.

we do exactly the same things.

we see the y-value for x = 0 is +1. that is "b".

I see e.g. these points : (0, 1) and (3, 2).

x changes by +3 (from 0 to 3).

y changes by +1 (from 1 to 2).

the slope "a" is +1/+3 = 1/3.

the equation is

y = (1/3)x + 1

8.

and again the same things.

we see the y-value for x = 0 is +3. that is "b".

I see e.g. these points : (0, 3) and (-3, 0).

x changes by -3 (from 0 to -3).

y changes by -3 (from 3 to 0).

the slope "a" is -3/-3 = 3/3 = 1.

the equation is

y = x + 3

Answer 2

An equation for each of the line graphed above include;

5. y = 3

6. y = -1/3(x) + 2

7. y = 1/3(x) + 1

8. y = x + 3

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line refers to the general equation of a linear function and it is represented by this mathematical equation;

y = mx + b

Where:

• m represents the slope or rate of change.
• x and y are the points.
• b represents the y-intercept or initial value.

Part 5.

Since the horizontal line passes through the point (0, 3), it would have a slope of zero because the rate of change in the y-axis is zero. Therefore, an equation for this line is given by;

y = 3.

Part 6.

First of all, we would determine the slope of this line;

Slope(m) = rise/run

Slope (m) = -1/3

At data point (0, 2) and a slope of -1/3, an equation for this line can be calculated by using the slope-intercept form as follows:

y = mx + b

y = -1/3(x) + 2

Part 7.

Next, we would determine the slope of this line;

Slope(m) = rise/run

Slope (m) = 1/3

At data point (0, 1) and a slope of 1/3, an equation for this line can be calculated by using the slope-intercept form as follows:

y = mx + b

y = 1/3(x) + 1

Part 8.

Next, we would determine the slope of this line;

Slope(m) = rise/run

Slope (m) = 3/3

At data point (0, 3) and a slope of 1, an equation for this line can be calculated by using the slope-intercept form as follows:

y = mx + b

y = x + 3

Complete Question:

Determine an equation for each of the line graphed above.