Graph 2x-5y=4 - Mathway

Enter a problem... Pre-Algebra Examples Popular Problems Pre-Algebra Graph 2x-5y=4 Step 1Solve for .Tap for more steps...Step 1.1Subtract from both sides of the equation.Step 1.2Divide each term in by and simplify.Tap for more steps...Step 1.2.1Divide each term in by .Step 1.2.2Simplify the left side.Tap for more steps...Step 1.2.2.1Cancel the common factor of .Tap for more steps...Step 1.2.2.1.1Cancel the common factor.Step 1.2.2.1.2Divide by .Step 1.2.3Simplify the right side.Tap for more steps...Step 1.2.3.1Simplify each term.Tap for more steps...Step 1.2.3.1.1Move the negative in front of the fraction.Step 1.2.3.1.2Dividing two negative values results in a positive value.Step 2Rewrite in slope-intercept form.Tap for more steps...Step 2.1The slope-intercept form is , where is the slope and is the y-intercept.Step 2.2Reorder and .Step 2.3Reorder terms.Step 3Use the slope-intercept form to find the slope and y-intercept.Tap for more steps...Step 3.1Find the values of and using the form .Step 3.2The slope of the line is the value of , and the y-intercept is the value of .Slope: y-intercept: Slope: y-intercept: Step 4Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.Tap for more steps...Step 4.1Write in form.Tap for more steps...Step 4.1.1Reorder and .Step 4.1.2Reorder terms.Step 4.2Find the x-intercept.Tap for more steps...Step 4.2.1To find the x-intercept(s), substitute in for and solve for .Step 4.2.2Solve the equation.Tap for more steps...Step 4.2.2.1Rewrite the equation as .Step 4.2.2.2Combine and .Step 4.2.2.3Add to both sides of the equation.Step 4.2.2.4Since the expression on each side of the equation has the same denominator, the numerators must be equal.Step 4.2.2.5Divide each term in by and simplify.Tap for more steps...Step 4.2.2.5.1Divide each term in by .Step 4.2.2.5.2Simplify the left side.Tap for more steps...Step 4.2.2.5.2.1Cancel the common factor of .Tap for more steps...Step 4.2.2.5.2.1.1Cancel the common factor.Step 4.2.2.5.2.1.2Divide by .Step 4.2.2.5.3Simplify the right side.Tap for more steps...Step 4.2.2.5.3.1Divide by .Step 4.2.3x-intercept(s) in point form.x-intercept(s): x-intercept(s): Step 4.3Find the y-intercept.Tap for more steps...Step 4.3.1To find the y-intercept(s), substitute in for and solve for .Step 4.3.2Solve the equation.Tap for more steps...Step 4.3.2.1Multiply by .Step 4.3.2.2Remove parentheses.Step 4.3.2.3Simplify .Tap for more steps...Step 4.3.2.3.1Multiply by .Step 4.3.2.3.2Subtract from .Step 4.3.3y-intercept(s) in point form.y-intercept(s): y-intercept(s): Step 4.4Create a table of the and values.Step 5Graph the line using the slope and the y-intercept, or the points.Slope: y-intercept: Step 6

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