MATH SOLVE

2 months ago

Q:
# Write an equation in slope - intercept form of the line that passes through (2,-2) and is parallel to the graph of y = -x - 2

Accepted Solution

A:

Answer:y = mxStep-by-step explanation:The equation of a line in the slope intercept form is represented by y = mx + cWhere m = slope ( change in the value of y on the vertical axis / change in the value of x on the horizontal axis)c = y intercept (point where the straight line cuts the vertical axis)For the graph of y = -x - 2,Comparing with the slope intercept form, y = mx + c,The slope, m = -1For two lines to be parallel, their slope must be equal.Let m1 = the slope of the line that passes through (2,-2)So m = m1 = -1To get the intercept, cy = -2x = 2y = mx + c-2 = -1 Γ 2 + c-2 = -2 + cc = -2+2 = 0The equation of the line is y = mx + 0y = mx