The general point-slope equation for a str. line is y-k = m(x-h),
where m is the slope and (h,k) is a point on the line.
Given that the line passes thru (-4,6) and (1,2), we find the slope as follows:
6-2
m = ----------- = -4/5
-4-1
Subst. -4/5 for m, 6 for k and -4 for h in y-k = m(x-h):
y-6 = (-4/5)(x+4)
Compare this result to the equations given.
Answer:
D.
Step-by-step explanation:
Rate of change is another way of saying "find the gradient".
Sub any value into the gradient formula.
The answer is 6.4 I hoped this helped
The Cena can take 7 courses
We have given that the karate charges $35 for the first course and $22.50 for each course after that. Our total is $170.
<h3>What is the condition we can write here?</h3>
for solving this linear equation
First, subtract 35 from both sides.
isolate x so divide both sides by 22.50.
Therefore we get x = 6
Remember to add the additional class, so x is actually 7.
So,the Cena can take 7 courses.
To learn more about the linear equation visit:
brainly.com/question/1549055
Answer:
y= 5/4x - 2
Step-by-step explanation:
Hey!
<u>Slope-Intercept Form</u> is y = mx + b, where <u>m</u> is the <u>slope</u> and <u>b</u> is the <u>y-intercept.</u>
First we can <em>locate the y-intercept</em>, or where the line passes through the y-axis.
The y-intercept is -2.
<em>Substitute </em>in the Slope-Intercept Form Equation:
y = mx -2
<u>Pick another point and substitute its x and y values in this equation.</u>
I chose (5,2) and substituted as 2 = m(5) -2
<em>Isolate </em>m:
<em>Add </em>2 to both sides <u>[Addition Property of Equality</u>]
2 + 2 = 5m - 2 + 2
4 = 5m
<em>Divide </em>by 5<em> </em>on both sides. [<u>Division Property of Equality</u>]
5m/5 = 4/5
m=4/5
<em>Substitute </em>in Slope-Intercept Form Equation.
<u><em>The Equation in Slope Intercept Form is y = 4/5x - 2</em></u>
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<em>Hope I helped, Feel Free to ask any questions to clarify :)
</em>
<em>
Have a fantastic day!
</em>
<em> -Aadi x</em>
