How do you write an equation of a line given slope -3 and passes through (5,2)?

1 Answer
Mar 3, 2017

y=-3x+17

Explanation:

The general formula for a line is y=mx+c where m= gradient and c= the y intercept.

Using the numbers you have been given in the question, you can put these numbers into the general formula to calculate c.

The gradient is -3
From the coordinates given, the x is 5 and y is 2.

2=-3*5+c

2=-15+c

c=17

Now you have worked out the value of c, (the y intercept), you can give the equation of the line, by inserting -3 in place of the m and 17 in place of the c:

y=-3x+17