the points (0,3), (1.8, -.365), (2, -.79) (4.5, -1.923) li on a line. Write the equation of the line in slope intercept form.
To write the equation of a line in slope-intercept form (y = mx + b), we need to find the slope (m) and the y-intercept (b).
To find the slope (m), we can use the formula:
m = (change in y) / (change in x)
Let's calculate the slope using two points from the given set of points, such as (0, 3) and (1.8, -0.365):
change in y = -0.365 - 3 = -0.365 + (-3) = -3.365
change in x = 1.8 - 0 = 1.8
Now, we can calculate the slope:
m = (-3.365) / (1.8) ≈ -1.869
Next, we can determine the y-intercept (b) using any of the given points. Let's use the point (0, 3):
y = mx + b
3 = -1.869(0) + b
3 = b
Now that we have the slope (m = -1.869) and the y-intercept (b = 3), we can write the equation of the line in slope-intercept form:
y = -1.869x + 3
Therefore, the equation of the line in slope-intercept form is y = -1.869x + 3.