A line and the point (3,4) are graphed in the coordinate plane. what is the equation of the line that passes through the point (
3,4) and is parallel to the line shown
A. y= 1/4x+3
B. y=1/4x+13/4
C. y=4x+3
D.y=4x+13/4
A. y= 1/4x+3
B. y=1/4x+13/4
C. y=4x+3
D.y=4x+13/4
1 answer:
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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