PLEASE HELP. WILL OFFER 50 POINTS AND BRAINLIEST FOR CORRECT ANSWER! Graph the two lines 2x + 3y = 18 3x -4y > 16. Give the Domain and Range, Slope, and Y-intercept for each line. Graph each equation above on the graph below and show all work. Give the Domain and Range, Slope, and Y-intercept for each line. Explain in detail how you got each answer.2x + 3y = 18 3x -4y > 16Slope-Intercept Form: Slope-Intercept Form: Domain: Domain:Range: Range:Slope: Slope:Y-intercept: Y-intercept:

Answer:For Equation 1:Domain: [tex]\mathbb{R}[/tex]Range: [tex]\mathbb{R}[/tex]Slope: [tex]\displaystyleP-\frac{2}{3}}[/tex]Y-intercept: 6For Equation 2:Domain: [tex]\mathbb{R}[/tex]Range: [tex]\mathbb{R}[/tex]Slope: [tex]\frac{3}{4}[/tex]Y-intercept: -4Step-by-step explanation:We are given two lines - one is an equation and one is an inequality. Neither are in slope-intercept form (y = mx + b), so we need to make these adjustments.Slope-intercept form has two key parts to the equation: m, which is the slope of the line and b, which is the y-intercept of the line.Equation 1[tex]\displaystyle2x+3y=18\\\\3y = -2x + 18\\\\y = -\frac{2}{3}x+6[/tex]With this, we can now determine the domain, range, slope, and y-intercepts for this line.For Equation 1, because our equation is in slope-intercept form, we can find the slope and the y-intercept.Our equation is [tex]y=-\frac{2}{3}x+6[/tex]. Therefore, our m is [tex]-\frac{2}{3}[/tex] and our b is 6.Because the equation is linear, there is no instance in which the line will not meet an x- or y-value. Therefore, our domain and range is all real numbers, or [tex]\mathbb{R}[/tex].Domain: [tex]\mathbb{R}[/tex]Range: [tex]\mathbb{R}[/tex]Slope: [tex]\displaystyleP-\frac{2}{3}}[/tex]Y-intercept: 6Equation 2[tex]\displaystyle3x-4y>16\\\\-4y>-3x+16\\\\y < \frac{3}{4}x-4[/tex]Now that we have solved the inequality, we can determine our slope, the domain, and the range of the function.We can use the same tactic as before - m is our slope and b is our y-intercept. Therefore, [tex]\frac{3}{4}[/tex] is our slope and -4 is our y-intercept.Because the inequality represents a line, our domain is all real numbers, or [tex]\mathbb{R}[/tex]. If we were to plug in any number for x, y would be true for that value. Therefore, our range is also all real numbers, or [tex]\mathbb{R}[/tex].Domain: [tex]\mathbb{R}[/tex]Range: [tex]\mathbb{R}[/tex]Slope: [tex]\frac{3}{4}[/tex]Y-intercept: -4