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Find the x-intercept and y-intercept of the line.
-7x+ 5y = 14

User Lukasz
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Answer: I hope this helps please try to some of it in your own words Maddie

Explanation:

7x−5y=14-7x-5y=14Find the x-intercepts.Tap for fewer steps...To find the x-intercept(s), substitute in 00 for yy and solve for xx.−7x−5⋅0=14-7x-5⋅0=14Solve the equation.Tap for fewer steps...Simplify −7x−5⋅0-7x-5⋅0.Tap for fewer steps...Multiply −5-5 by 00.−7x+0=14-7x+0=14Add −7x-7x and 00.−7x=14-7x=14Divide each term in −7x=14-7x=14 by −7-7 and simplify.Tap for fewer steps...Divide each term in −7x=14-7x=14 by −7-7.−7x−7=14−7-7x-7=14-7Simplify the left side.Tap for fewer steps...Cancel the common factor of −7-7.Tap for more steps...x=14−7x=14-7Simplify the right side.Tap for fewer steps...Divide 1414 by −7-7.x=−2x=-2x-intercept(s) in point form.x-intercept(s): (−2,0)(-2,0)Find the y-intercepts.Tap for fewer steps...To find the y-intercept(s), substitute in 00 for xx and solve for yy.−7⋅0−5y=14-7⋅0-5y=14Solve the equation.Tap for fewer steps...Simplify −7⋅0−5y-7⋅0-5y.Tap for fewer steps...Multiply −7-7 by 00.0−5y=140-5y=14Subtract 5y5y from 00.−5y=14-5y=14Divide each term in −5y=14-5y=14 by −5-5 and simplify.Tap for fewer steps...Divide each term in −5y=14-5y=14 by −5-5.−5y−5=14−5-5y-5=14-5Simplify the left side.Tap for more steps...y=14−5y=14-5Simplify the right side.Tap for more steps...y=−145y=-145y-intercept(s) in point form.y-intercept(s): (0,−145)(0,-145)List the intersections.x-intercept(s): (−2,0)(-2,0)y-intercept(s): (0,−145)(0,-145)

User Chap
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