The equation of a line is usually written in what's called <em>slope-intercept form</em>.
Slope-intercept form is written as y = mx + b where m = slope and b = the y-intercept.
The slope of a line can easily be found just by using two points on the line. The slope is equal to the rise over the run, or the difference in y over the difference in x, between the two points.
The y-intercept of the line is the point at which it intersects the y-axis. (The vertical axis.) All points on the y-axis have an x coordinate of 0, so we would then add or subtract the rise and run to a point on the line until we reached x = 0.
Fortunately, we already have this point! It's (0, -2)!
Now we just need to put our slope and y-intercept into the equation.
And to test if a point is on this line, just plug in the x and y coordinates and see if the equation is true!
Answer (<u>assuming it can be written in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula, . Substitute the x and y values of the given points into the formula and solve:
So, the slope is .
2) Now, use the point-slope formula to write the equation of the line. Substitute , , and for real values.
Since represents the slope, substitute for it. Since and represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form ( format) and find the following answer:
(2x⁴4y⁴)(3x⁶y²) remove parentheses
2x⁴y⁴*3x⁶y² take out the constants
(2*3)x⁴x⁶y⁴y² simplify 2*3 to 6
6x⁴x⁶y⁴y² use product rule=xᵃxᵇ=xᵃ⁺ᵇ
6x⁴⁺⁶y⁴⁺² simplify 4+6 to 10 and 4+2 to 6
6x¹⁰y⁴⁺²=6x¹⁰y⁶
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
Answer:
$72 profit
Step-by-step explanation:
Answer:
Step-by-step explanation:
A=4
B=6
C=2
D=3
E=5
F=1