SOLUTION: needing help in math. Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0,0)?

Algebra.Com
Question 39746: needing help in math.
Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0,0)?

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Starting with the "point-slope" form: , you'll need to find the slope, m, of the line that passes through the points (1, 5) and (0, 0).
The slope of a line is given by:
Where: (x1, y1) is (1, 5) and (x2, y2) is (0, 0), so substituting these values into the slope formula, you get:


Now you substitute this value of m into the point-slope form.
Next, you will substitute the x and y values from either one of the two given points and solve for b, the y-intercept.
Choosing the first point (1, 5), you'll get:
Simplify and solve for b. Subtract 5 from both sides of the equation.

Now you can write the final equation in the point-slope form:
Since b = 0, you won't need to put it in the equation.

RELATED QUESTIONS

please help... using the point-slope formula, what is the equation of the line that... (answered by sdmmadam@yahoo.com)
Using the point slope formula, what is the equation of the line that passes through the... (answered by ichudov)
Using the point-slope formula, what is the equation of the line that passes through the... (answered by fractalier)
Using the point slope formula write an equation of the line given the following:The slope (answered by elima4)
Write the equation of the line that passes through (-1, 4) with a slope of -1 in standard (answered by Alan3354)
What is the equation of the line that has a slope of -2 and passes through the point (1,... (answered by Earlsdon,KMST)
What is the equation of the line that passes through the point (-1,4) and has a slope of... (answered by ikleyn)
what isthe equation of the vertical line that passes through the point (-2, -1).... (answered by ewatrrr)
the slope of a line is 2. the line passes through the point (-3,-5). what is the equation (answered by macston)