One linear equation is defined by the points (2, 4) and (1, 1), while the other is defined by the points (2, -2) and (-1, -5). which point represents the solution to this system of equations?

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cutoff point with the y axis

Equation 1:

Go through the points:

So, the line is:

We substitute a point:

Finally the line is:

Equation 2:

The equation is:

Substituting a point:

Finally the equation is:

Equaling both equations:

We look for the value of y:

The point (-1, -5) is system solution

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.