Question

19. passes through (1, 4) and (-1, 1)

Answer 1

Answer:

y = 3/2x + 2.5

Explanation:

You can use the slope equation: $\frac{y_1-y_2}{x_1-x_2} = \frac{rise}{run}$

So: $\frac{1-4}{-1-1} = \frac{3}{2}$

Then just plug in the one of the original points to find the y-intercept:

$4 = \frac{3}{2} (1)+b\\4=\frac{3}{2} +b\\4=1.5+b\\(-1.5)+4=1.5+b+(-1.5)\\2.5=b$

And finally turns into: $y=\frac{3}{2} +2.5$