How would you write the equation if the problem has X-intercept=6 and Y=intercept= 2
Given the x-intercept is 6.
We know that the x-intercept is the point that intersect with the x-axis.
The point intersect with the x-axis at x= 6, then the value of y is 0.
Then the point ( 6, 0) is on the graph.
We are also given the y-intercept = 2.
Then, the line intersect with the y-axis at y= 2, then the value of x is 0.
Then, the point ( 0, 2) is on the graph.
Now we have two points on the graph ( 6, 0) and (0, 2)
Now we will determine the equation of the lines.
We will calculate the slops.
==> m = (y2-y1)/(x2-x1)
==> m= ( 2/6 = 1/3
==> Now we will write the equation of the line.
==> y-y1 = m (x-x1)
==> y - 0 = (1/3) ( x -6)
==> y= (1/3)x - 2