Mathematics: Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C. m= - 1/4,(-7,0) The equation of the line in the form Ax+By=C is . (Simplify your answer. Use integers or fractions for any numbers in the equation.)

Well...you want to find x right..?First you’d isolate the x (multiply both sides by 8)...(8)•x/8 = -2•(8)Multiply/Simplify...x = 16...

Find an equation of the line with the given slope

stephanie1105

10.02.2022

The equation of the line in the form Ax+By=C is $\mathbf{ x+4y=-7}$

Step-by-step explanation:

We need to write an equation of line that have slope m= -1/4 and point(-7,0)

We would use slope-intercept form: y=mx+b

where m is slope and b is y-intercept.

We are given slope m = -1/4 but we need to find y-intercept

Finding y-intercept

Using the slope m= -1/4 and point(-7,0) we can find y-intercept (b)

$y=mx+b\\0=-\frac{1}{4}(-7)+b\\0= \frac{7}{4}+b\\b=-\frac{7}{4}$

Now finding the equation of line having slope m= -1/4 and y-intercept b= -7/4

$y=mx+b\\y=-\frac{1}{4}x-\frac{7}{4}$

Now converting into form Ax+By=C :

$y=-\frac{1}{4}x-\frac{7}{4}\\y=\frac{-x-7}{4}\\4y=-x-7\\x+4y=-7$

The equation of the line in the form Ax+By=C is $\mathbf{ x+4y=-7}$

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