Final answer:
To find the equation of the line passing through the points (-2, 5) and (-1, 2), we first find the slope using the formula (y2 - y1) / (x2 - x1). Then, we can use the point-slope form to write the equation. Finally, we can simplify it to get the equation in slope-intercept form (y = mx + b) by solving for y.
Step-by-step explanation:
To graph the line that passes through the points (-2, 5) and (-1, 2), we first need to find the slope of the line. The slope is the change in y divided by the change in x. Using the formula:
slope = (y2 - y1) / (x2 - x1)
Plugging in the values (-2, 5) and (-1, 2), we get:
slope = (2 - 5) / (-1 - (-2)) = -3 / 1 = -3
Now that we have the slope, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values (-2, 5) and -3 for m, we get:
y - 5 = -3(x - (-2))
Simplifying the equation gives:
y - 5 = -3(x + 2)
Finally, we can rewrite the equation in slope-intercept form (y = mx + b) by solving for y:
y = -3x - 6 + 5y = -3x - 1
The equation of the line in slope-intercept form is y = -3x - 1.