Find the linear equation that is the straight line through (3, 4)and (9, 40).

Question

Quizplus · Accepted Answer

We want to find the equation of the line passing through the points (3,4) and (9,40). We can use the point-slope form of the equation of a line: y − y1 = m(x − x1), where m is the slope of the line and (x1,y1) is one of the points on the line. 
First, we can find the slope of the line using the two points:

m = (y2 − y1)/(x2 − x1) 
m = (40 − 4)/(9 − 3) 
m = 36/6 
m = 6

Now we can plug in one of the points and the slope into the point-slope form:

y − 4 = 6(x − 3)

To get the equation into slope-intercept form (y = mx + b), we can simplify:

y − 4 = 6x − 18 
y = 6x − 14

So the linear equation that describes the straight line passing through (3,4) and (9,40) is y = 6x − 14.

Find the Linear Equation That Is the Straight Line Through