If line l in the xy-coordinate plane has a positive slope, what is the x-intercept of l ? (1) there are different points (a, b) and (c, d) on line l such that ad = bc. (2) there are constants m and n such that the points (m, n) and (–m, –n) are both on line l.

The x-intercept of L is 0

Step-by-step explanation:

1)  If (a,b) and (c,d) belongs to theline L, then the equation of the line using two-points formula  will be:

if we want to find the x-intercept of L we should set y=0.

getting x from that equation we will have :

using distributive propertie and common denominator will be obtain

x=

as we know that ad=bc the numerator will be equal to zero. Then x=0.

2) Using the same equation of line but using the points(m,n) and (-m, -n) we will set it as:

if we want to find the x-intercept of L we should set y=0.

getting x from that equation we will have :

them

x = 0

ok then what happened.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: