which of the following equations represents the equation in slope-intercept form for a line that passes through a point (-10,3) and (-5,4)
To find the equation of a line given two points, first find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-10,3) and (-5,4):
m = (4 - 3) / (-5 - (-10))
m = 1 / 5
m = 1/5
Next, use the point-slope form of a linear equation to find the equation of the line. The point-slope form is:
y - y1 = m(x - x1)
Using the point (-10,3):
y - 3 = (1/5)(x - (-10))
y - 3 = (1/5)(x + 10)
y - 3 = (1/5)x + 2
y = (1/5)x + 5
Therefore, the equation in slope-intercept form for a line that passes through the points (-10,3) and (-5,4) is:
y = (1/5)x + 5