Question

Which is an equation for the line that contains (-2,5) and has a slope of -7 ?

7x + y = 33
y=-7x+9
y=-7x-33
7y+y=-9

Answer 1

y = -7x - 9

Explanation:

The standard from of equation of a line is expressed as;

y = mx+c

m is teh slope = -7

c is the intercept

Get the intercept by substituting m = -7 and the point (-2, 5) into the equation;

y = mx+c

5 = -7(-2) + c

5 = 14 + c

c = 5-14

c = -9

Substitute m = -7 and c = -9 into the expression y = mx+c

y = -7x - 9

Hence the required equation of the line is y = -7x - 9