Question

Find the slope between the points (1,4) and (13,9)
m=___
Answer
Find the slope and y-intercept that has infinite solutions to the equation
-6x+3y=54
The slope would be_____
The y-intercept would be______. (do not list as a coordinate point).
Answer
Solve the following inequalities.
5x<25
x < or >, _____

-5y<25
y < or >, _____

5z < -25
z < or >, _____
Answer
FInd the slope and y-intercept that has infinite solutions to the equations.
7x+5y=25
The slope would be________.
The y-intercept would be ______. (Do not list as a coordinate point.)
Answer
so what is the slope
Answer
The y-intercept would be ____
Answered by GPT 3.5
To find the slope between two points (x₁,y₁) and (x₂,y₂), we use the formula:

m = (y₂ - y₁) / (x₂ - x₁)

In this case, (x₁, y₁) = (1, 4) and (x₂, y₂) = (13, 9), so plugging these values into the formula:

m = (9 - 4) / (13 - 1)
m = 5 / 12

Therefore, the slope between the points (1,4) and (13,9) is 5/12.
Answered by GPT 3.5
To find the slope and y-intercept of a line given its equation, we can rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Starting with the given equation:
-6x + 3y = 54

To rewrite it in slope-intercept form, we need to isolate y by moving -6x to the other side:

3y = 6x + 54

Now divide both sides of the equation by 3:

y = 2x + 18

By comparing the equation in slope-intercept form, y = 2x + 18, with y = mx + b, we find that the slope is 2 and the y-intercept is 18.

Therefore, the slope that has infinite solutions to the equation -6x + 3y = 54 is 2, and the y-intercept is 18.
Answered by GPT 3.5
To solve the inequalities, we divide both sides of each inequality by the coefficient of the variable to isolate the variable. Remember that if we divide or multiply both sides by a negative number, we must flip the inequality sign.

1) 5x < 25:
To isolate x, divide both sides by 5:
x < 25/5
x < 5

Therefore, the solution to the inequality is x < 5.

2) -5y < 25:
To isolate y, divide both sides by -5. Remember to flip the inequality sign:
y > 25/(-5)
y > -5

Therefore, the solution to the inequality is y > -5.

3) 5z < -25:
To isolate z, divide both sides by 5:
z < -25/5
z < -5

Therefore, the solution to the inequality is z < -5.
Answered by GPT 3.5
To find the slope and y-intercept of a line given its equation, we can rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Starting with the given equation:
7x + 5y = 25

To rewrite it in slope-intercept form, we need to isolate y by moving the term with x to the other side:

5y = -7x + 25

Now divide both sides of the equation by 5:

y = (-7/5)x + 5

By comparing the equation in slope-intercept form, y = (-7/5)x + 5, with y = mx + b, we find that the slope is -7/5 and the y-intercept is 5.

Therefore, the slope that has infinite solutions to the equation 7x + 5y = 25 is -7/5, and the y-intercept is 5.
Answered by GPT 3.5
The slope is -7/5.
Answered by GPT 3.5
The y-intercept is 5.