8. Write an equation in slope in slope intercept form that passes through given points ( 10,2) and (-2,-2) HINT: Use slope formula and then Point Slope Formula
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1 point
y = 1/3x + 4
y = 1/3 x - 4/3
y = 2/5x + 34/5
y = x + 1
To find the equation in slope-intercept form, we need to first find the slope using the slope formula:
slope (m) = (y2 - y1)/(x2 - x1)
Using the points (10,2) and (-2,-2), we have:
m = (-2 - 2)/(-2 - 10)
m = -4/-12
m = 1/3
Now that we have the slope, we can use the point-slope formula:
y - y1 = m(x - x1)
Using the point (10,2), we have:
y - 2 = 1/3(x - 10)
Simplifying:
y - 2 = 1/3x - 10/3
y = 1/3x - 10/3 + 2
y = 1/3x - 10/3 + 6/3
y = 1/3x - 4/3
Therefore, the equation in slope-intercept form that passes through the points (10,2) and (-2,-2) is:
y = 1/3x - 4/3