Answer:
Step-by-step explanation:
The x-intercept exists when y = 0; the coordinate that results from our x-intercept is (4, 0).
The y-intercept exists when x = 0; the coordinate that results from our y-intercept is (0, -2).
We can use these 2 coordinates to find the slope of the line we need to write:

Now we can use that slope along with one of our points to write the equation of the line. I am going to use the point-slope form, then we will solve it for y to put it into slope-intercept. Let's use the coordinate (4, 0). Keep in mind that regardless of which point we choose to use to write our equation, we will get the same equation.
y - 0 = 1/2(x - 4) and
y = 1/2x - 2
That's your equation!
Answer: -1 and -3/4 (-0.75)
Step-by-step explanation: -1 + -3/4 = -1 3/4
9514 1404 393
Answer:
0
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -4)/(-9-3) = 0/-12 = 0
The slope of the line is zero. It is a horizontal line (y=4).
Answer:
<h2>Factor perfect squares out of the square root until there are no more perfect squares inside.</h2>
Step-by-step explanation:
<h2>Begin by working inside the square root itself. You can manipulate the interior of the square root as much as you'd like so long as you don't violate any other rules of algebra. </h2>
<h2>√160=√16⋅10</h2>
<h2>Because 16 is a perfect square, we can pull it out of the square root as a 4.</h2>
<h2>That will simplify down to 4√10</h2>
<h2>because there are no additional perfect square factors in 10, the resultant is simplified.</h2>
<h2>Therefore, √160 simplifies to 4√10</h2>