Y-8= - * - 4
y=-*
4
(3,-5)
no solution
an infinite number of solutions

Given:

The system of equation is

To find:

The solution of given system of equations.

Solution:

The slope intercept form of a line is

Where, m is slope and b is y-intercept.

Write the given equation in slope intercept form.

The first equation is

             ...(i)

Here, slope is and y-intercept is 4.

The second equation is

             ...(i)

Here, slope is and y-intercept is -4.

Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.

Parallel lines never intersect each other. So, the given system of equation has no solution.

Hence, the correct option is B.

2: 10

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9