A graph of the relationship between x and y is shown on the coordinate plane in the picture below.
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.
- x and y are the points.
- b represents the y-intercept or initial value.
First of all, we would determine the slope for the line by using these points (0, 3) and (4, 4);
Slope (m) = (4 - 3)/(4 - 0)
Slope (m) = 1/4
At data point (0, 3) and a slope of 1/4, an equation for this line can be calculated by using the slope-intercept form as follows:
y = mx + b
y = 1/4(x) + 3
Complete Question:
The water level of the stream has been rising at a constant rate all day when the water depth was measured at noon it was 3 inches deep by 4 pm is 4 inches.
If x represents the number of hours since noon and y represents the water levels in inches. Graph the relationship between x and y.