Equations in slope-intercept form all follow the same general format.
y=mx+ b
Here m represents the slope of the line and b represents the y-intercept. To write an equation for a line in this form, we must find the slope and the y-intercept. We will begin by finding the slope of the line that connects the given points, (1,5) and (3,11), using the Slope Formula.
The slope of the line is 3. This means, for every one unit to the right we move on a coordinate plane, we move three units up. At this point, we have the following equation.
y = 3x + b
To determine the value of b we can substitute either of the given points into the equation for x and y, then solve. We will use (1,5).
