Answer:
slope of line t is 1/2
y-intercept of line t is y = 2
The equation in slope-intercept form of line t is : y = (1/2)*x + 2
Step-by-step explanation:
The equation in slope-intercept form is:
y = m*x + b (1)
In that equation m is slope of the line, and b is the intercept with y axis
Then when x = 0 we find the y-intercept from equation (1)
y = m* (0) + b ⇒ y = 2 = b
And when x = 8 y = 4 plugging these values again in equation (1) (we already know b)
y = m * x + b ⇒ 4 = m*8 + 2
8*m = 4 - 2 ⇒ 8*m = 2 ⇒ m = 2/8 ⇒ m = 1/4
Finally the equation in slope-intercept form of line t is:
y = ( 1/2)*x * 2
