Final answer:
The slope of line t is 1/4, the y-intercept is 2, and the equation in slope-intercept form is y = (1/4)x + 2.
Step-by-step explanation:
To find the slope of line t, we can use the formula:
Slope = (y2 - y1) / (x2 - x1)
Using the points (0, 2) and (8, 4), the slope is:
Slope = (4 - 2) / (8 - 0) = 2 / 8 = 1/4
So, the slope of line t is 1/4.
To find the y-intercept of line t, we can use the formula:
y = mx + b
Since the line passes through the point (0, 2), we can substitute the values into the equation and solve for b:
2 = (1/4)(0) + b
2 = b
So, the y-intercept of line t is 2.
The equation of line t in slope-intercept form is:
y = mx + b
Substituting the values we found:
y = (1/4)x + 2
So, the equation of line t is y = (1/4)x + 2.