Question

Find the slope-intercept form of the equation of the line that has a slope of 3 and

passes through the point (1, -2)

Answer 1

y= 3x -5

Explanation:

Slope- intercept form:

y= mx +c, where m is the gradient (or slope) 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 pair of coordinates.

When x=1, y= -2,

-2= 3(1) +c

c +3= -2

c= -3 -2 (-3 on both sides)

c= -5

Thus, the equation of the line is y= 3x -5.