Final answer:
To find the equation of a line given the x-intercept and y-intercept, we use the slope-intercept form y = mx + b. Given the x-intercept as -10 and the y-intercept as 8, we can determine the slope and write the equation of the line as y = (-4/5)x + 8.
Step-by-step explanation:
To find the equation of a line given the x-intercept and y-intercept, we use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Given the x-intercept as -10 and the y-intercept as 8, we can plug these values into the equation to find the slope:
m = (y2 - y1) / (x2 - x1)
m = (0 - 8) / (-10 - 0) = 8 / (-10) = -4/5
Now that we have the slope, we can write the equation of the line as:
y = (-4/5)x + 8