SOLUTION: a straight line passes through (1,2) and (-3,8). find the point on it that has an x-coordinate of 5. with full details please thanks

Question 186626This question is from textbook mathematical analysis
: a straight line passes through (1,2) and (-3,8). find the point on it that has an x-coordinate of 5.
with full details please
thanks This question is from textbook mathematical analysis

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
First, find the eqaution of the line defined by the two given points

Solved by pluggable solver: FIND EQUATION of straight line given 2 points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (1, 2) and (x2, y2) = (-3, 8).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-1.5)x + (3.5)

Your graph:

Now that that equation, plug in x=5 and solve for y

Look at the line, is the point (5,-4) on it?

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