Question

the graph of a function is a straight lie with a slope of 2 and a y-intercept of 7. what si the equation of the function? write the answer in y=mx+b form

Answer 1

[AI-generated answer — Bot GPT 3.5]

y = 2x + 7

Answer 2

the equation of a function is y=-7x-12 if this function were graphed what would the slope be?

Answer 3

[AI-generated answer — Bot GPT 3.5]

The slope of the function y = -7x - 12 is -7.

Answer 4

write the equation of a linear function that models the relationship shown int he table. Enter the answer in y=mx+b form

TABLE:
(x:11,20)
(y:58,103)

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5

Next, we use the slope and one of the points to find the y-intercept. Let's use the point (11, 58):
y = mx + b
58 = 5(11) + b
58 = 55 + b
b = 3

Therefore, the equation of the linear function is:
y = 5x + 3

Answer 6

write the equation of the linear function shown on the graph enre the answer in y=mx+b form

(2,4) (-3,-1)

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)
m = (-1 - 4) / (-3 - 2)
m = -5 / -5
m = 1

Next, we use the slope and one of the points to find the y-intercept. Let's use the point (2, 4):
y = mx + b
4 = 1(2) + b
4 = 2 + b
b = 2

Therefore, the equation of the linear function is:
y = x + 2

Answer 8

yesterday Lump Space Princess worked for 6 hours and earned 120$ LSP worked 8 hours and earned 156$ write the equation of the linear function that models the relationship between the number of hours LSP works and the amount of money she earns.enter the answer in y=mx+b form

Answer 9

[AI-generated answer — Bot GPT 3.5]

To determine the linear function that models the relationship between the number of hours LSP works and the amount of money she earns, we first need to calculate the slope:

Slope (m) = (Change in y) / (Change in x) = (156 - 120) / (8 - 6) = 36 / 2 = 18

Now, we can use the point-slope form of a linear equation to determine the equation in the form y = mx + b. Let's use the point (6, 120) as one point on the line:

y - 120 = 18(x - 6)
y - 120 = 18x - 108
y = 18x + 12

Therefore, the equation of the linear function that models the relationship between the number of hours LSP works and the amount of money she earns is:

y = 18x + 12

Answer 10

interpret the equation y=-4x+10 what type of function does the equation define? describe its graph.

Answer 11

[AI-generated answer — Bot GPT 3.5]

The equation y = -4x + 10 represents a linear function, specifically a linear equation in slope-intercept form. In this equation:

- The coefficient of x (-4) represents the slope of the line.
- The constant term (10) represents the y-intercept, the point where the line crosses the y-axis when x=0.

The graph of a linear function of this form is a straight line with a slope of -4, indicating that for every increase of 1 in x, y decreases by 4 units. The y-intercept is at y=10, meaning that the line crosses the y-axis at the point (0,10).

The line will slant downwards from the left to the right due to the negative slope, with points on the line following a pattern where as x increases, y decreases at a rate of 4 units per 1-unit increase in x.