Question

Find the equation of the line that has the given x-intercept and y-intercept. Write the answer in standard form.​

Answer 1

x - 4y = -4

Explanation:

Standard form of a line: Ax + By = C

Equation of line in x-intercept and y-intercept form:

`\sf \boxed{(x)/(a)+(y)/(b)=1}`

Here a is x-intercept and b is y-intercept.

a = -4 & b = 1

`\sf (x)/(-4)+(y)/(1)=1\\\\\text{Mutiply the entire equation by (-4)},\\\\(-4)*(x)/(-4) + (-4)*(y)/(1)=1*(-4)\\\\\\x - 4y = -4`

Equation of line in standard form:

x - 4y = -4