Question

Find the slope-intercept form of the equation of the line that

passes through the point (1, 2) and has slope 3.​

Answer 1

y= 3x-1

Explanation:

Slope-intercept form:

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

Since the slope is 3, m=3.

subst. m=3 into the equation:

y= 3x +c

To find the value of c, substitute a coordinate.

When x=1, y=2,

2= 3(1) +c

c= 2-3

c= -1

The equation of the line is y= 3x -1.