Write an equation in slope intercept form when given two pieces of key information about the line
Y-intercept = 4, goes through the points (2, 3) (0, 4)
To write the equation in slope-intercept form, we use the formula y = mx + b, where m represents the slope of the line and b represents the y-intercept.
First, let's find the slope (m) using the given points (2,3) and (0,4).
The slope (m) is given by the formula: m = (y2 - y1) / (x2 - x1)
Substituting the values from the points, we get:
m = (4 - 3) / (0 - 2)
m = 1 / (-2)
m = -1/2
Now that we have the slope (m) and the y-intercept (b = 4), we can substitute these values into the slope-intercept form equation.
Therefore, the equation in slope-intercept form is:
y = -1/2x + 4