What equation in slope-intercept form represents the line that passes through the points (3,-2) and (1, -3)?

2y = x - 7

Step-by-step explanation:

The general equation of the line is;

y = mx + b

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

To get the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

(x1, y1) = (3,-2)

(x2,y2) = (1,-3)

m = (-3+2)/(1-3) = -1/-2 = 1/2

So we have the equation as;

y = x/2 + b

Multiply through by 2

2y = x + 2b

To get the y-intercept value, we substitute any of the points

Let us use the first point

While 3 will go for x , -2 will go for y; thus we have;

2(-2) = 3 + 2b

-4 = 3 + 2b

2b = -4-3

2b = -7

b = -7/2

So the equation is;

2y = x -7

(-5,-28)

i graphed to on desmos.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b