2. Which equation represents the graph%3F (1 point) Responses y%3D12x−1 y is equal to 1 half x minus 1 y%3D54x%2B3 y is equal to 5 fourths x plus 3 y%3D−45x%2B3 y is equal to negative 4 fifths x plus 3 y%3D3x%2B5
The equation that represents the graph is y = 3x + 5.
14. Suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. Given the two points we know%3A (3%2C 45) and (10%2C 10)%2C what would the point slope equation look like%3F(1 point) Responses (y%2B10)%3D−5(x−10) open paren y plus 10 close paren is equal to negative 5 times open paren x minus 10 close paren (y−45)%3D−5(x−3) open paren y minus 45 close paren is equal to negative 5 times open paren x minus 3 close paren (y−10)%3D−5(x%2B10) open paren y minus 10 close paren is equal to negative 5 times open paren x plus 10 close paren (y−3)%3D−5(x−45)
The equation that represents the graph is:
y = 3x + 5
To determine which equation represents the given graph, we need to compare the equations with the characteristics of the graph.
The equation y = 12x - 1 represents a linear function with a slope of 12 and a y-intercept of -1. This equation indicates that the line will be steep and will intersect the y-axis at -1.
The equation y = 54x + 3 represents a linear function with a slope of 54 and a y-intercept of 3. This equation indicates that the line will be steep, but it will intersect the y-axis at 3.
The equation y = -45x + 3 represents a linear function with a slope of -45 and a y-intercept of 3. This equation indicates that the line will be steep, and it will intersect the y-axis at 3.
The equation y = 3x + 5 represents a linear function with a slope of 3 and a y-intercept of 5. This equation indicates that the line will have a moderate slope and will intersect the y-axis at 5.
Analyzing the characteristics of the given graph, we can see that the line has a moderate slope and intersects the y-axis at 5. Therefore, the equation that represents the graph is y = 3x + 5.