Question

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points)

y = 3x − 7
y = 3x − 5
y = 5x − 11
y = 5x − 9

Answer 1

Step one : In order to find the equation of the line we can use the slope intercept form.
The slope-intercept form of a straight line is used to find the equation of a line.
For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.
y = mx + b
Where m is the slope and b is the y-intercept
We know that,
m = (y2 - y1)/ (x2 - x1)

Answer 2

Substituting the values we get,
m = (-1 - 4)/(2 - 3)

Answer 3

So m=-5/-1
Dividing two negative numbers becomes positive so m=5

Answer 4

Step 2 to find b we’ll use the point (2,1)
The formula used is y=mx+c

Answer 5

Which in that case
-1=5(2)+b
b=-10-1 (adding two negatives will remain negative)
b=-11

Answer 6

So now what would your answer be?