Final answer:
To write the equation of a line in slope-intercept form, find the slope and the y-intercept. The equation of the line passing through (-10, 16) and (-5, 18) is y = (2/5)x + 20.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we need to find the slope and the y-intercept. Slope is determined by the change in y divided by the change in x, or (y2 - y1)/(x2 - x1). Let's use the points (-10, 16) and (-5, 18) to find the slope:
Slope = (18 - 16)/(-5 - (-10)) = 2/5
Next, we can use one of the points and the slope to find the y-intercept. Let's use the point (-10, 16) with the slope of 2/5:
y = mx + b, where m is the slope and b is the y-intercept.
16 = (2/5)(-10) + b
16 = -4 + b
b = 20
Therefore, the equation of the line in slope-intercept form is: y = (2/5)x + 20.
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