what is the slope of the graph? what does it mean in the context of the problem?
the slope for the problem is 2 i don't understand the second question
then it says what is the y-intercept and what does the y-intersept represent.
for the problem the y-intercept is 3, the second question i think it's where the line meets the y-axis
The slope of a graph represents the rate of change between two variables. In this case, since the slope is 2, it means that for every unit increase in the x-coordinate, the y-coordinate will increase by 2 units.
The y-intercept is the point where the line intersects the y-axis. In this case, the y-intercept is 3. The y-intercept represents the value of the y-coordinate when the x-coordinate is zero. In other words, it is the value of the dependent variable (y) when the independent variable (x) is not present or equal to zero
The slope of a graph represents the steepness or inclination of a line. To find the slope of a graph, you need two points on the line.
In this case, if the slope is given as 2, it means that for every unit increase in the x-coordinate, the y-coordinate increases by 2 units. Similarly, for every unit decrease in the x-coordinate, the y-coordinate decreases by 2 units. The slope can also be thought of as the rate of change between the x and y variables.
The y-intercept, on the other hand, is the value of y when x is equal to 0. It represents the point where the line intersects the y-axis. In this case, if the y-intercept is 3, it means that the graph crosses the y-axis at the point (0, 3). The y-intercept represents the initial value or starting point of an equation or function.
To find the slope of a line, you can determine the change in y (the vertical change) divided by the change in x (the horizontal change) between two points on the line. In equation form, slope (m) = (change in y) / (change in x).
To find the y-intercept, you can substitute x = 0 into the equation of the line and solve for y.