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To find the equation of a line passing through two points, we first calculate the slope using the formula (y2 - y1) / (x2 - x1). Given the points (1, 11) and (-2, 2), the slope is (2 - 11) / (-2 - 1) = -9 / -3 = 3. Next, we use the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Substituting (1, 11) as the point and 3 as the slope, we get the equation y - 11 = 3(x - 1). Simplifying, we get y = 3x + 8 as the equation of the line.
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What is the equation of the line that passes through 1 5 and 4 11?
Plug both points into the equation of a line, y =m*x + b and then solve the system of equations for m and b to get equation of the line through the points.
What is the equation of the line through -1 7 and -4 9?
The equation of a line through (-1,7) and (-4,9) is y=-(2/3)*x+19/3
What is an equation of the line parallel to y -x 1 and through (44)?
y -x + 1
Which equation represents the line that passes through 0 0 and is parallel to the line passing through 2 3 and 6 1?
The equation in slope-intercept form would be y=-2x
What is the equation of a line which has a gradient of 3 and passes through 4.1?
The general equation of a line isy = mx + cIf the gradient is 3 then m = 3 so thaty = 3x + cSince the point (4,1) lies on this line, these coordinates must satisfy the equation.So 1 = 3*4 + cie c = -11Therefore, the equation is y = 3x - 11
What is the equation of the line that passes through 1 5 and 4 11?
Plug both points into the equation of a line, y =m*x + b and then solve the system of equations for m and b to get equation of the line through the points.
What is an equation of a line passing through (25) and (-41)?
Points: (2, 5) and (-4, 1) Slope: 2/3 Equation: 3y = 2x+11
If an equation of a line has an undefined slope and passes through point 1 3 what form would be used to write the equation of the line?
If a line has an undefined slope, it means it is a vertical line. For a vertical line passing through the point (1, 3), the equation is written in the form ( x = a ), where ( a ) is the x-coordinate of any point on the line. Therefore, the equation of the line would be ( x = 1 ).
What is the equation of the line in point-slope form that passes through the points -1 7 and -2 3?
Points: (-1, 7) and (-2, 3) Slope: 4 Equation: y = 4x+11
What is the equation of the line through -1 7 and -4 9?
The equation of a line through (-1,7) and (-4,9) is y=-(2/3)*x+19/3
What is the equation of the line that passes through the point 1 -1 and has a slope of -3?
A line through point (X, Y) with slope m has equation: y - Y = m(x - X) → line through (1, -1) with slope -3 has equation: y - -1 = -3(x - 1) → y + 1 = -3x + 3 → y + 3x = 2
Which is the equation of the line through 111 and -22?
The line goes through two numbers, so it can only be the 1-dimensional number line.
What is the equation for a line that goes through points 611 and 310?
Given points: (6, 11), (3, 10)Find: the equation of the line that passes through the given points Solution: First, wee need to find the slope m of the line, and then we can use one of the given points in the point-slope form of the equation of a line. After that you can transform it into the general form of the equation of a line. Let (x1, y1) = (3, 10), and (x2, y2) = (6, 11) slope = m = (y2 - y1)/(x2 - x1) = (11 - 10)/(6 - 3) = 1/3 (y - y1) = m(x - x1)y - 10 = (1/3)(x - 3)y - 10 = (1/3)x - 1y - 10 + 10 - (1/3)x = (1/3)x - (1/3)x + 10 - 1-(1/3)x + y = 9 which is the general form of the required line.
What is the equation of the line that passes through (12) and (34)?
If you mean (1, 2) and (3, 4) then its equation is y = x+1
Write the equation of the vertical line passing through 1 7 and 1 1?
x = 1
What is an equation of the line parallel to y -x 1 and through (44)?
y -x + 1
When line L has equation 4x plus 2y equals -1 find an equation of the line passing through the point 3 3 which is parallel to the line?
solve the equation for y to get the slope.y=-2x-1/2substitute (3,3) into the equation/3=2(3)+band solve for b.-3=+by=2x-3 is the equation with the same slope(parallel) and goes through (3,3)
