We will start by choosing two points in order to draw a line passing through them. Notice that there are infinitely many options for them. Let's choose the points (0,3) and (4,-1). Now, we will plot the points and connect them to draw the line.
Next, we will determine the slope of the line using the Slope Formula.
m=y_2- y_1/x_2- x_1
In the formula, the points ( x_1, y_1) and ( x_2, y_2) represent the points that lie on the line. Let's apply the formula.
Therefore, the slope of the line is -1. In order to write the equation of the line in slope-intercept form, we also need to determine the y-intercept.
y= mx+ b
In this form, m tells us the slope and b states the y-intercept. Since we can immediately determine the y-intercept as 3 from the graph, we can write the equation.
y= -1x+ 3 ⇒ y=- x +3
