Question

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-2, 4), slope=1/2

please explain and show work.

Answer 1

y= ½x +5

Explanation:

Slope- intercept form:

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

Given that the slope is ½, substitute m= ½ into the equation.

y= ½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -2, y= 4,

4= ½(-2) +c

4= -1 +c

c= 4 +1

c= 5

Hence, the equation of the line is y= ½x +5.