Since you’re dealing with a linear equation in slope-intercept form, we know the equation is going to be in the form of y=mx+b.
Therefore, we need to find the slope (“m”) of the line (change in y/change in x), which is rise/run. We also need to find the y-intercept (“b.”)
1.) (0, -3) (1, -1)
We took two points from the line to find the slope. We will use the 2 coordinate pairs to find the slope.
2.) m=(y2-y1)/(x2-x1)
This is the slope “m” formula.
3.) m=( -1+3)/(1-0)
Input the coordinate values into the formula. The +3 you see is due to -(-3)=+3.
4.) m=2/1
We simplified the above formula.
5.) m=2
By division.
We now have the slope or “m.” M=2. Therefore, the equation rises 2 units and runs 1 unit.
Now, finding the y-intercept:
The y-intercept or “b” is where the line intersects the y-axis. It is the starting point of a linear equation.
To find the y-intercept, we need to figure out what the output is when the input is 0. We can see on the table in the picture that with an input of 0, the output is -3.
Therefore, b=-3. This is because an input of 0 means that there is no movement on the x-axis, so we can determine where the where the linear intercepts the y-axis.
Therefore, the equation is y=2x-3, where m=2 and b=-3.
That’s the answer: y=2x-3
Answer:
temperature ≤ 6
Step-by-step explanation:
The highest temperature in February was 6°F. Write and graph an inequality to represent this situtation.
If the maximum temperature was 6, then the temperature reached no more than six, while still reaching 6. Thus, the inequality should be
temperature ≤ 6
The graph would be a filled dot on the 6 pointing towards the left side of the graph (towards the -10 side)
Answer: 24) C. SSS only
26) D. DH = HF
<u>Step-by-step explanation:</u>
24.
<u>Statement</u> <u>Reason</u>
1. BD = CA 1. Given
2. AB = CD 2. Given
3. AD = AD 3. Reflexive Property
4. ΔABD = ΔDCA 4. SSS Congruency Theorem
<em>We have no information about the angles so cannot use SAS Theorem.</em>
26. G H F
E H D
Line up the letters to find the congruent sides:
⇒ GH = EH
HF = HD
GF = ED
We have:
3x + 4y = 12
The first thing we should do in this case is clear and.
We have then:
4y = -3x + 12
y = (- 3x + 12) / (4)
Rewriting:
y = (- 3/4) x + 3
We evaluate now for x = 4
y = (- 3/4) (4) + 3
y = -3 + 3
y = 0
The ordered pair is:
(x, y) = (4, 0)
Answer:
y = (- 3/4) x + 3
(x, y) = (4, 0)
The value of Sin(a) suppose that Cos B = 0.68 in which case, a + B = 90° is; 0.68.
<h3>Trigonometry</h3>
First, when we have two angles, whose sum equals, 90°.
In essence, Since the algebraic sum of angles A and B is 90°;
By trigonometric identity;
Where; (90 - A) = B.
Therefore; Sin A = Cos B = 0.68.
Read more on trigonometry;
brainly.com/question/20519838