1. What is the equation in standard form of a perpendicular line that passes through (5,1)?
2. What is the x-intercept of the perpendicular line?
3. What is the equation in standard form of a parallel line that passes through (0,-2)?
4. On the parallel line, find the ordered pair where x=-2.
1. Perpendicular to what?
-- missing information
there must have been some original line given, or else the slope
They may mean perpendicular to the previous question: y=3x+6
To find the equations in standard form of perpendicular and parallel lines, we need to know the slope of the given line.
1. To find the equation of a perpendicular line, first find the slope of the given line. Let's assume the given line has a slope of m1. The perpendicular line will have a slope that is the negative reciprocal of m1.
Once you have the slope of the perpendicular line, you can use the point-slope form of the equation: y - y1 = m2(x - x1), where (x1, y1) is the point through which the line passes, and m2 is the perpendicular slope.
In your case, the given point is (5,1). To find the perpendicular slope, you need to know the slope of the given line.
2. To find the x-intercept of the perpendicular line, you need to solve the equation for x when y = 0. Plug y = 0 into the equation you found in step 1 and solve for x. The resulting value of x will be the x-intercept.
3. To find the equation of a parallel line, treat it as a line with the same slope as the given line but passing through a different point. In this case, the given point is (0,-2). Note that the parallel line will have the same slope as the given line.
Using the point-slope form of the equation, y - y1 = m(x - x1), where (x1, y1) is the point through which the line passes, and m is the slope.
4. To find the ordered pair on the parallel line where x = -2, substitute this value into the equation found in step 3 and solve for y. The resulting value of y will be the y-coordinate of the point on the parallel line.
Please provide the slope of the given line so we can proceed with the calculations.