SOLUTION: How would you write an equation for a line that has an x-intercept of -1 and a y-intercept of 4?

Question 3193: How would you write an equation for a line that has an x-intercept of -1 and a y-intercept of 4?
Answer by drglass(89) (Show Source): You can put this solution on YOUR website!
First, remember the equation of a line,

y = mx + b

where m is the slope of the line and b is the y-intercept.
The question tells you two points on the line. The first point is the x-intercept, we will call it P1 = (-1, 0), the second point is the y-intercept, which we will call P2 = (0, 4). We can find the slope of the line by

m = = = 4

Since we already know the value of the y-intercept is 4, the equation of the line is:

y =

You can check this by setting x = 0,

So we get the point (0,4) from this equation.

Next set y = 0,

subtract 4 from both sides to isolate x

divide by 4 on both sides to get x by itself

This is the x-intercept (-1, 0) for the line. Our equation gives us the two points used to define the problem, therefore, it must be the correct equation.
RELATED QUESTIONS
Write an equation in slope intercept form for a line that has a x intercept of 1 and a y... (answered by josgarithmetic)

Find an equation of a line that has an x intercept of 6 and a y intercept of... (answered by josmiceli,ewatrrr,Alan3354)

write the equation of a line that has an x-intercept of -7 and a y-intercept of... (answered by stanbon)

Write an equation of the line that has a x-intercept of-5 and a y-intercept of... (answered by josmiceli)

write an equation in standard form of a line whose x-intercept is an integer and... (answered by Theo)

write an equation of the line that has each pair of intercepts x-intercept:-1,... (answered by solver91311,Mathtut)

write an equation for a line which has y-intercept -6 and x-intercept... (answered by oberobic)

Can you please help me with this problem? I have to write the equation of a line in... (answered by oberobic)

find an equation of a line in standard form that has x intercept 6 and y intercept... (answered by richwmiller,mananth)