y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)
<em><u>Solution:</u></em>
Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)
The formula y = mx + b is said to be a linear function
Where "m" is the slope of line and "b" is the y - intercept
Let us first find the slope of line
Substituting values we get,
Thus slope of line is m = 3
To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b
3 = 3(2) + b
3 = 6 + b
b = 3 - 6
b = -3
Thus the required equation of linear function is:
Substitute m = 3 and b = -3 in formula
y = mx + b
y = 3x - 3
Thus the equation of linear function is found
Answer:
exp prob is less than theoret prob
Step-by-step explanation:
experimental 8 out of 20 8/20
theoretical 10 out of 20 10/20
24 : 8 = 3 : 1 because 24 divided by 8 = 3 so
3 = 1
7 : 35 = 1 : 5 because 35 divided by 7 is 5 so
5 = 1
Answer:
Step-by-step explanation:
We have that:
Now we can find a+b
<span>1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work
slope = (10 - 2)/(9 + 3)
slope = 8/12
slope = 2/3
</span><span>2. Write the equation of the line in point-slope form.
Show your work
</span>
point-slope form. <span>
y - y1 = m(x - x1)
so equation
y - 2 = 2/3(x + 3)
</span><span>3. Write the equation of the line in slope-intercept form.
Show your work.</span><span>
</span>slope = 2/3, passing thru <span> (-3, 2)
</span><span>
y = mx + b
b = y - mx
b = 2 - (2/3)(-3)
b = 2 + 2
b = 4
equation
y = 2/3(x) + 4
</span>
