Which of the following equations represents the equation in slope-intercept form for a line that passes through the points (-10, 3) and (-5, 4)?
Responses
A y = 0.2x + 5y = 0.2 x + 5
B y = 5x + 29y = 5 x + 29
C y = 0.2x + 3y = 0.2 x + 3
D y = 5x – 21
The correct equation is C: y = 0.2x + 3.
To find the slope of the line passing through the points (-10, 3) and (-5, 4), you would use the formula for slope:
m = (y2 - y1) / (x2 - x1)
m = (4 - 3) / (-5 - (-10))
m = 1 / 5 = 0.2
Now that you have the slope, you can use the point-slope formula to equation the equation in slope-intercept form:
y - y1 = m(x - x1)
y - 3 = 0.2(x + 10)
y - 3 = 0.2x + 2
y = 0.2x + 3
Therefore, the correct equation would be y = 0.2 x + 3.