Question

Write the equation of a line in slope-intercept form that passes through the point (1,-6) and (0,4).

Answer 1

Answer:

y = -10x + 4

Step-by-step explanation:

1) First, let's find the slope of our equation by using the slope formula and using the x and y values from the points (1, -6) and (0,4):

$slope = \frac{4-(-6)}{0-1} = \frac{4+6}{-1} = \frac{10}{-1} = -10$

So, our slope is -10.

2) Next, let's use the slope and x and y values of one of the points the line must pass (I chose (0,4) in this case) and apply them to point-slope formula. Then, we'll change into slope-intercept form like so:

$y-(4) = -10 (x - 0) \\y - 4 = -10x \\y = -10x + 4$

So, y = -10x + 4 is the answer.