To find the equation of the line passing through the points (-10, 3) and (-5, 4) in slope-intercept form (y = mx + b), we first need to find the slope (m) of the line:
m = (y2 - y1) / (x2 - x1)
m = (4 - 3) / (-5 - (-10))
m = 1 / 5
m = 1/5
Now that we have the slope, we can substitute one of the points into the equation y = mx + b to solve for b:
4 = (1/5)(-5) + b
4 = -1 + 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
So, the correct equation from the given options is:
A. y = 0.2x + 5
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)?%0D%0AResponses%0D%0A%0D%0A%0D%0AA%09y = 0.2x + 5y = 0.2 x + 5%0D%0A%0D%0A%0D%0AB%09y = 5x + 29y = 5 x + 29%0D%0A%0D%0A%0D%0AC%09y = 0.2x + 3y = 0.2 x + 3%0D%0A%0D%0A%0D%0AD%09y = 5x – 21
1 answer