Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
Answer:
Quadratic equations are similar to exponential equations by having a curve in the graph. Algebraically, linear functions are polynomial functions with a highest exponent of one, exponential functions have a variable in the exponent, and quadratic functions are polynomial functions with a highest exponent of two.
Answer:
x is equal to 24 and y is equal to 66.
Step-by-step explanation:
In order to find the value of y, we first have to note that the unlabeled angle in the larger triangle, y and the 78 degree angle create a straight line. The unlabeled angle is equal to 36 since it and the other two angles equal 180. So we take that 36, 78 and y and can set that equal to 180.
36 + 78 + y = 180
114 + y = 180
y = 66
Now that we have that value, we can use y and the 90 degree angle to find x.
x + y + 90 = 180
x + 66 + 90 = 180
x + 156 = 180
x = 24
Answer:
x = 1, y = 3
x = -5, y = -3
Step-by-step explanation:
Point Form:
(1,3) , (-5, -3)
M<6 is 60
Since AC and BD are parallel, <6 and <4 are supplementary.
supplementary means = 180 degrees
Since m<6 is 60 degrees, subtract 60 from 180 to get <4
180 - 60 = 120
M<4 is 120
hope this helps
