So, I'm going to break it down to help you understand it a bit more.
If it starts at (0,-2) and crosses through (1,0) that means it moved to the right once and up twice. Which means, that the slope will be 2. If it were one it would be to the right 1 up one, if it were 4 it would be to the right 1 up 4, and finally if it were 1/2 it would be to the right 2 up 1.
So, your answer is C. or 2.
Answer:
infinitely many solutions
Step-by-step explanation:
Let's eliminate the fractional coefficient in the first equation by multiplying that equation by 4:
4y = 6x - 4
The second equation can be rewritten as 4y = 6x - 4, so the two equations are actually identical. They have infinitely many solutions.
Answer:
y=-3x+2
Step-by-step explanation:
Slope-intercept form is given by the equation y=mx+b, where m is defined as the slope and b is defined as the y-intercept (the value on the y-axis that the line crosses). First we can determine the slope by using the slope formula.
m=(y2-y1)/(x2-x1), given two points (x1, y1) and (x2, y2). Keep in mind you can choose which point is (x1,y1) and which is (x2,y2) as long as you are consistent.
Plugging in for (-1,5) and (1,-1), you will get:
m=(-1-5)/(1-(-1))=-6/2=-3
Next, we need to find the y-intercept. For this problem, you can determine it is 2 by looking at the graph of the line. We now have both components to create the slope-intercept form.
m=-3, b=2
y=-3x+2
the answer is 38.53 becauase it is...
With questions like this (to see if theyre parallel), all you have to do is see if lines have a congruent slope. if yes (ex: 2 and 2), then they are parallel. if the slopes are opposites (ex: 4 and -1/4), then they are perpendicular. If they have no such relation (ex: -3 and 1/7), then they are neither.
with this problem, find the slope by separating the same variable in each equations, like this:
2x + 7y = 6
-2x -2x
7y = -2x + 6
(the second equation is already separated) so now we have
7y = -2x + 6 and 7y = 2x + 6
since -2 does NOT equal 2, these two graphs/lines are NOT parallel.
Hope this helped!
