Question

Leon correctly found the slope and y-intercept of the line that passes through the points (9, –8) and (3, 4) as follows.

What is the equation of the line in slope-intercept form?
y=2x+10
y=-2x+10
y=10x-2
y=10x+2

Answer 1

y= -2x +10

hope this helps!

Answer 2

Answer: y=-2x+10

Explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (9,-8) and (3,4),

y2 = 4

y1 = - 8

x2 = 3

x1 = 9

Slope,m = (4 - - 8)/(3 - 9) = 12/- 6 = -2

To determine the intercept, we would substitute x = 9, y = - 8 and m= - 2 into y = mx + c. It becomes

- 8 = - 2 × 9 + c = - 18 + c

c = - 8 + 18 = 10

The equation becomes

y = - 2x + 10