Answer: y =
x - 3
Step-by-step explanation:
Slope-intercept form is in the form of y=<em>m</em>x + <em>b</em> where m is the slope and b is the y-intercept.
We are given the slope, so we will plug this in.
y = <em>m</em>x + <em>b</em>
y = (
)x + <em>b</em>
<em />
Now, we will solve for the y-intercept by plugging in the point they give us.
y = (
)x + <em>b</em>
(-2) = (
)(5) + <em>b</em>
-2 = 1.25 + <em>b</em>
-3
= <em>b</em>
<em />
Lastly, we will plug this variable into the equation we wrote above for our final answer.
y =
x - 3
<em>Read more about writing a </em><em>slope-intercept form</em><em> equation for this problem here:</em>
<em>brainly.com/question/13874293</em>
<h3>
Answer: approximately 6.3 miles</h3>
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Explanation:
See the diagram below. The two given angles B = 105 and C = 20 are used to help find angle A
A+B+C = 180
A+105+20 = 180
A+125 = 180
A = 180-125
A = 55
Then we use the law of sines to find the side length c
sin(A)/a = sin(C)/c
sin(55)/15 = sin(20)/c
c*sin(55) = 15*sin(20) ... cross multiply
c = 15*sin(20)/sin(55) .... divided both sides by sin(55)
c = 6.26294249724791 .... value is approximate
c = 6.3 ....... rounding to one decimal place
<h3>
Answer: b = 4 and c = 7.</h3>
===============================================
Explanation:
Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.
The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.
Plug those three values into the vertex form below
y = a(x-h)^2 + k
y = 1(x-(-2))^2 + 3
y = (x+2)^2 + 3
Then expand everything out and simplify
y = x^2+4x+4 + 3
y = x^2+4x+7
We see that b = 4 and c = 7.