Write the equation of the line in slope intercept form that is parallel to y=8x+5 and goes through the point (-2,8)

The equation of the line would be y = 8x + 26

Step-by-step explanation:

In order to find the equation, we first need to note that they will have the same slope due to the definition of parallel lines. Knowing that, we can use the slope and point to find the equation.

y - y1 = m(x - x1)

y - 8 = 8(x + 2)

y - 8 = 8x + 18

y = 8x + 26

y = 8x + 24

Step-by-step explanation:

The slope of a parallel line is the same as the slope in the equation given.  Use that slope (8) and the point given (-2, 8)  and plug into y = mx + b to find b

8 = -2 (8) + b

8 = -16 + b

24 = b

Write the new equation with the m and b

y = 8x + 24

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)