With slope –1/4, passing through (-4, -1)

Step-by-step explanation:

i'm not sure if you're trying to find the equation of the line ?? but i'll assume that's the case and find the slope-intercept form equation of the line.

slope intercept form is , where is the slope and is the y-intercept. since the slope is already identified, you can plug in for .

plug in the and values from the coordinate pair that passes through the line, which is (-4, -1). you can start with either or , but i'm going to start with .

first, plug in for .

now plug in for .

after plugging in all of the given values, the equation is now , in which you need to solve for .

now it's time to solve! begin by multiplying in order to simplify the right side of the equation.

you now have . subtract 1 from both sides of the equation. on the right side, it cancels itself out, leaving you with . on the left side of the equation, you now have , which equals .

therefore , or .

now that you've solved for your value, plug it into your initial slope-intercept form equation!

if you want to check to make sure that the values are correct, plug (-4, -1) into your completed slope-intercept form equation. as you did in the beginning, plug in for and for .

begin simplifying by multiplying .

subtract .

since both sides of the equation are equal, that means your value of is correct because it makes the equation true!

aaaand there you go! i hope this helps. have a great day! <3

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step-by-step explanation: