Points: (1, 5) and (2, 7)
Slope: 2
Equation: y = 2x+3
Points: (4, 1) and (5, 2) Slope: 1 Equation: y = x-3 Equation in its general form: x-y-3 = 0
Points: (2, 5) and (4, 3) Slope: -1 Equation: y = -x+7 in slope-intercept form --- If you want to write the slope-intercept form of the equation of the line passing through the given points, then use the two points to find the slope of the line. After that, use the slope and one of the points to find the y-intercept. For instance, m = (5 - 3)/(2 - 4) = 2/-2 = -1(the slope) y = mx + b (replace m with -1, and (x, y) with (4, 3)) 3 = -1(4) + b 3 = -4 + b (add 4 to both sides) 7 = b Thus, y = -x + 7 is the equation of the line passing through (2, 5) and (4, 3).
The solution set for a given equation is the set of all points such that their coordinates satisfy the equation.
Given any two points, there are infinitely many coplanar circles that can go through the two points. And then each circle can be rotated through infinitely many planes about the straight line joining those two points. So as stated, there is not the slightest hope of pinning down an answer.
4
Points: (4, 1) and (5, 2) Slope: 1 Equation: y = x-3 Equation in its general form: x-y-3 = 0
No becaue the given points results as an equation of: y = x+2
The equation for the given points is y = x+4 in slope intercept form
5
To find the slope of a line passing through a given pair of points is found by using the point slope formula. Y(2)-Y(1) over x(2) -x(1).
That depends on the points in order to find the slope whereas no points have been given.
But it's not an equation because there is no equal sign and no points are given.
y=mx+c where x and y are variables, m is the gradient (or slope) and c is the intercept on y (axis). that is the general equation of a straight line. if you had given some coordinates for the points one could extrapolate from that to find the full equation. since you have not, one cannot.
The straight line equation would depend on the slope which has not been given.
y = -(1/5)x + 9
Points: (2, 5) and (4, 3) Slope: -1 Equation: y = -x+7 in slope-intercept form --- If you want to write the slope-intercept form of the equation of the line passing through the given points, then use the two points to find the slope of the line. After that, use the slope and one of the points to find the y-intercept. For instance, m = (5 - 3)/(2 - 4) = 2/-2 = -1(the slope) y = mx + b (replace m with -1, and (x, y) with (4, 3)) 3 = -1(4) + b 3 = -4 + b (add 4 to both sides) 7 = b Thus, y = -x + 7 is the equation of the line passing through (2, 5) and (4, 3).
The equation of a line with gradient m passing through point (xo, yo) is given by: y - yo = m(x - xo) The gradient m is calculated: m = change_in_y/change_in_x = y1-y0/x1-x0 → line through points po (2, 3) and p1 (4, -1) has equation: y - 3 = (-1 - 3)/(4 - 2) (x - 2) → y - 3 = -4/2 (x - 2) → y - 3 = -2(x - 2) → y - 3 = -2x + 4 → y + 2x = 7