Answer:y=-2x+3
Step-by-step explanation:
Answer:
The equation for the new line in slope-intercept form is:
Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:
which for our case is:
<span>The three equations can be written as 1) y = 2x - 5 ; 2) y = 2x - 3 and ;3) y = 2x + 5. Now, the slope can be found by slop intercept form of linear equation i.e. y = mx+b where m is the slope. From the above equations, we can see that all the the three have the same slope i.e. m = 2.</span>
The required equation of a line is y = 9/5 (4x - 12)
Given-
The point from which the line passes through is (3,2)
The slope of the given line m is -4/5.
Equation of the line
The linear equation of a line can be represented by a set of points on a graph using the equation of the line.
The standard form of the line passing through the point x₁, y₁
The slope m is given by,
m = (y - y₁) / (x - x₁)
Put the values of points and slope in the above equation, we get,
-4/5 = (y - 2) / (x - 3)
-4/5(x - 3) = y -2
-4x/5 + 12/5 = y - 2
-1/5 (4x - 12) + 2 = y
y = 9/5 (4x - 12)
The linear equation of a line can be represented by a set of points on a graph using the equation of the line. The following equation depicts a line that crosses (3, 2) and has a slope of -4/5: y = 9/5 (4x - 12)
Learn more about equation of line here;
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