S 6x + 2y 10 ly=-3x + 5 The equations are same, thus, the graph shows an infinite number of solutions. the slope intercept form. + 2y 10 2у - -бх + 10 2y -6x+10 *lo icarn more about solving sstemof tincar quotion graphically, youemay open your hook and refer to prges178-180) → Transform it into slope intercept form > Divide both sides by 2. Directions: Graph the ordered pairs then categorize if a given system of linear equations in two variables has graphs that are parallel, intersecting, and coinciding. 1.) X-y 2 x+y 7 6 5n X-y=2 =-3x +5 4 m = rise to plot a point. Since it is m =-3 → use the b = run negative slope, the line is downward. -6 -5 -4 -3 -2 -1 2. 4 x+y=D7 b = 5 -> -2 (0, 5) m 4. 3. 2.) 2x+3y 9 6х - 27--9y 1 -6 -5 -4 -3 -2 -1 4 2x +3y 9 -2 -3 -6 -5 -4 -3 -2 -1 1. 4. -4 6x-27=-9y -2 -5 -3 -6 m = -4 b = in

Q: m = 4 and x-intercept of -2 in point-slope form

A:

Q: 3. Passes through (-9, 9) and (-5, 1) in slope- intercept form.

A:

Q: Line k has the equation y = -√x+1. Line is parallel to line k, but passes through the point (-6,…

A:

Q: Consider the following equation.y=-9x+2Use the x-values {, , } to find solution points that should…

A: The given function is

Q: Determine the vertex of the function y=-2x2- 20x-51 O A) (2, -51) O B) (-5, -1) O C) (-2, -51) O D)…

A: Option (B) is correct.

Q: (-2,-3) haS A SLOPE OF 5/2  WRITE EQUATION IN Ax+By=C formr for the   y-6=-3(x-2) rewrite the…

A: Topic-  equation of straight line

Q: the points (4, -2) and (3, 3). m = -5 rite an equation in point-slope form using the point (4, -2).…

A:

Q: 3. Standard form: r+ 6y= -2 %3D Slope-intercept form:

A: Given equation is  x + 6y = -2

Q: What is an equation of the line that passes through the points (6, 1) and (7, 2)? Put your answer in…

A:

Q: Write the slope-intercept form of the equation of the "line g" as described.  Line g  passes…

A:

Q: 1. For each function find the slope, m, and y-intercept, b. Then graph each function. Label the…

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: Find the slope of the graph and the y-intercept then sketch the graph. Y=3x+5 The slope is- The y…

A: The linear equation is of form y = mx + c , where "m" is the slope of the line and "c" is the…

Q: Slope-Intercept Form (y = mx +b) Write the equation of each line in slope-intercept form. 1. Slope:…

A: Slop intercepte form of the line

Q: A line intersects the points (12, -2) and (6, -8). m = 1 Write an equation in point-slope form using…

A:

Q: 5) Write an equation in slope-intercept form of the line that passes through the points (-2,-2) and…

A:

Q: determine whether the given point is on the graph of the equation y=4x-4;(5,16)

A: We have given

Q: Line A has a slope of -4 and passes through the point (-25,-10). Line B has x-intercept of 10 and…

A:

Q: What is an equation of the line that passes through the points (3,-8) and (1, -2)? Put your answer…

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.