Question

Find the equation of the line, in slope-

intercept form, that passes through the point
(-3. 2) and has slope 3.
of the equation for

Answer 1

y= 3x +11

Explanation:

slope-intercept form:

y= mx+c, where m is the gradient and c is the y-intercept.

Given that the slope is 3, m=3

substitute m=3 into the equation:

y= 3x +c

To find the value of c, substitute a coordinate.

When x= -3, y=2,

2= 3(-3) +c

c -9= 2

c= 9 +2 (+9 on both sides)

c= 11 (simplify)

Thus, the equation of the line is y= 3x +11.