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
1. y = x + 13
2. y = 2x + 4
3. y = x + 7
4. y = 5x + 29
The correct answer is:
3. y = x + 7
the responses are
Y= 0.2 +5
Y=5x + 29
y = 0.2x + 3
y = 5x – 21
To find the equation in slope-intercept form of the line passing through the points (-10, 3) and (-5, 4), we first need to calculate the slope using the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Let's use the points (-10, 3) and (-5, 4) to calculate the slope:
m = (4 - 3) / (-5 - (-10))
m = 1 / 5
m = 1/5
Now, we have the slope (m = 1/5) and one of the points (-10, 3). We can use the slope-intercept form of a linear equation (y = mx + b) to find the equation of the line.
y = 1/5 * x + b
3 = 1/5 * (-10) + b
3 = -2 + b
b = 5
Therefore, the equation in slope-intercept form is:
y = 1/5 * x + 5
Among the provided options, the closest match to the correct equation is:
Y = 0.2x + 5