Question

What is the equation in slope-intercept form of the line that passes through the points

(– 12, – 4) and (4, 8)?
y equals negative 0.75 x minus 13
, ,
y equals 0.75 x plus 5
, ,
y equals negative four thirds minus 20
, ,
y equals four thirds minus 12

Answer 1

The equation of the line in slope-intercept form that passes through the points (-12, -4) and (4, 8) is y = 0.75x + 5.

Step-by-step explanation:

The question is asking for the equation of a line in slope-intercept form that passes through two given points. The slope-intercept form of a line is expressed as y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we can use the two points (-12, -4) and (4, 8) and apply the formula for slope m = (y2 - y1) / (x2 - x1).

Applying the coordinates to the slope formula, we have:

m = (8 - (-4)) / (4 - (-12))
= 12 / 16
= 3 / 4 or 0.75

To find the y-intercept, we can use either one of the given points along with the slope we calculated. Let's use the point (4, 8) and plug into the equation:

8 = (0.75)(4) + b
b = 8 - 3
b = 5

Therefore, the equation of the line is y = 0.75x + 5.