Question #c0566

2 Answers

y=-1/2x+3

Explanation:

Using the equation of a line,
y=mx+b
I plugged in the known values of m which is my slope
and the x's and y's because it was given as (-4,5)
where -4 was x and 5 was y

Dec 15, 2017

Point-slope form: y-5=-1/2x+4

Slope-intercept form: y=-1/2x+9

Explanation:

First determine the point-slope form of the line:

y-y_1=m(x-x_1),

where:

(x_1,y_1) is the given point (-4,5) and m is the slope, -1/2.

Plug in the known values.

y-5=-1/2(x-(-4))

Expand.

y-5=-1/2x+4 larr point-slope form

Convert the point-slope form to slope-intercept form by solving for y.

Slope-intercept form:

y=mx+b,

where:

m is the slope and b is the y-intercept.

y-5=-1/2x+4

Add 5 to both sides.

y=-1/2x+4+5

Simplify.

y=-1/2x+9 larr slope-intercept form

graph{y=-1/2x+9 [-16.29, 15.74, 3.14, 19.16]}