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 – 21y = 5 x – 21
To find the equation in slope-intercept form, we first need to find the slope of the line passing through the two points (-10, 3) and (-5, 4).
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (4 - 3) / (-5 - (-10))
Slope (m) = 1 / 5
Now, we have the slope (m) and we can use the point-slope form of a linear equation to find the equation in slope-intercept form:
y - y1 = m(x - x1)
Using the point (-10, 3):
y - 3 = (1/5)(x + 10)
y - 3 = (1/5)x + 2
y = (1/5)x + 5
Therefore, the correct answer is:
A) y = 0.2x + 5