a) What is the equation of a straight line that passes through (2,0) and has a gradient of -3 ? b) Consider a parabola represented by y = x² + 2. The parabola is cut at two points by the straight line y = x +4. Find the distance between the two points which cut the parabola.

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: x- - Consider the equations 2x + 4y = 8 and y = 10. Select the point where the graphs of these two…

A: Point of intersection is the point which lies on both lines, simply they are values of x and y that…

Q: Find the equation of the line in slope intercept form parallel to 3x - 4y = 2 and goes through the…

A:

Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: Find the distance of the line 4x + 7y+ 5 = 0 from the point (1, 2) along the line 2x - y= 0.

A: Consider the provided question, (21) First find the intersection point of the two lines,

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

A:

Q: What is the general Cartesian equation of the line that intersects the X axis at the point (9,0) and…

A:

Q: A straight line passes through the points (1,0) and (3, 6). Find the equation of the line and choose…

A: In this question given that a straight line passing through point (1,0) and (3,6). We find equation…

Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: Connect the two points (1, d(1)) and (3, d(3)) with a straight line.

A: Given

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: 7. Find the equation of the line in slope- intercept form containing the points (0,0) and (0,-2).…

A: The line passes through the point (0,0) and (0,-2)

Q: find additional zeros and write a fourth degree polynomial function with the given zeros 3,-3,3-i…

A:

Q: write the equation of the line perpendicular to y=4x+4 and passing through (-12,6). Please show work

A: Answer: The solution is given below:

Q: Write an equation for the line through the point (-1, 2) that is (a) parallel, and (b) perpendicular…

A:

Q: Please solve and show your work

A: The given points are

Q: In this problem, you are asked to find the best-fit quadratic y = q(x) = ax + br + c through the…

A: Given: General quadratic equation is y=qx=ax2+bx+c The equation is passing through the points -2,2,…

Q: Find the midpoint of points A(-8,2)and B(-5,-5) graphically.

A: Explanation: Plot the points A and B on the graph. Then draw a horizontal line from A and Vertical…

Q: A) Write the equation of the line PARALLEL to y + 3x = -8 and passes through (6,-4) Do NOT use the…

A:

Q: A line passes through the points (4,7) and (2, g) and is parallel to the graph of the equation 6x…

A: