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) ?
The equation in slope-intercept form is given by:
y = mx + b
where:
m = slope
b = y-intercept
First, we need to find the slope (m) using the two points (-10, 3) and (-5, 4):
m = (y2 - y1) / (x2 - x1)
m = (4 - 3) / (-5 - (-10))
m = 1 / 5
So, the slope is m = 1/5.
Next, we can substitute one of the points into the equation y = mx + b to find the y-intercept (b). Let's use the point (-10, 3):
3 = (1/5)(-10) + b
3 = -2 + b
b = 5
Therefore, the equation in slope-intercept form for the line passing through the points (-10, 3) and (-5, 4) is:
y = (1/5)x + 5
Answer: y = (1/5)x + 5