Answer:y = -3x + 10
Step-by-step explanation:
To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:
where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.
Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:
So the slope between the two points is -3.
From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:
y = mx + b
plug in -3 for m (the slope) and 10 for b (the y-intercept)
y = -3x + 10
So now we have our equation.
I hope you find my answer and explanation helpful. Happy studying. :)
Answer:
1,880.82
Step-by-step explanation:
1) you can buy 6 candy bars because $5.10 / $0.85 =
6.
To check: 6*0.85=5.10
2) you can find the answer by adding 3 to 12. 3+12=15 n=15 and it said n can be greater than or equal so
N(greater than or equal to sign) 15.
To check: 15-3=12
12=12
16-3>12
13>12
7) x-7=12
+7 +7
X=19
To check: 19-7=12
12=12
8) y/8=7
*8 *8
Y= 56
To check: 56/8=7
7=7
9) 10-4x=6x
+4x +4x
10=10x
/10 /10
X=1
To check: 10-4(1)=6(1)
10-4=6
6=6
Hope this helped!
Answer:
The standard form of the equation is -3x + y = -19
Step-by-step explanation:
To find the standard form, we first need to note that the slope will be 3 since parallel lines have the same slope. Then we can use point-slope form and manipulate into standard form.
y - y1 = m(x - x1)
y - 5 = 3(x - 8)
y - 5 = 3x - 24
-3x + y - 5 = -24
-3x + y = -19
