Answer:
y = -1/7 x + 16/7
Step-by-step explanation:
Write in standard form of the equation of the line through the given points: through (2,2) and (-5,3)
Given the point (2,2) and (-5,3). The standard form of an equation passing through the points is expressed as y = mx+c
m is the slope
c is the intercept
Get the slope
m = y2-y1/x2-x1
m = 3-2/-5-2
m = 1/-7
m = -1/7
Get the intercept. Substitute m = -1/7 and one of the point (2,2) into the expression y = mx+c
2 = -1/7(2) + c
2 = -2/7 + c
c = 2 + 2/7
c = (14+2)/7
c = 16/7
Substitute m = -1/7 and c = 16/7 into the expression y = mx+c
y = -1/7 x + 16/7
Hence the required equation is y = -1/7 x + 16/7
