Step 1: Find the gradient/slope
Gradient and slope are interchangeable words. To find the gradient/slope we need to use two points that we know are on the line and the following formula: (y2 - y1) / (x2 - x1)
Point 1 = (0,1)
Point 2 = (3,13)
Gradient = (13 - 1) / (3 - 0)
Gradient = 12 / 3
Gradient = 4
Step 2: Find the y-intercept
We can use the slope-intercept form to find the y-intercept. To do so, we plug in the gradient and one of the points on the line. You can pick either point to plug in here!
Slope-intercept form: y = mx + b
-m is the gradient
-b is the y-intercept (that we are trying to find)
13 = 4(3) + b
13 = 12 + b
b = 1
Step 3: Put it all together in slope-intercept form
Now that we have the slope and y-intercept, all that's left to do is plug in the values.
y = mx + b
y = 4x + 1
Answer: y = 4x + 1
Hope this helps!!
