Q:

Graph the linear equation. Find threepoints that solve the equation, then ploton the graph.x - 4y = -18

Accepted Solution

A:
Answer:Part 1) The graph in the attached figurePart 2) Three points that solve the equation could be (-18,0),(0,4.5) and (-2,4)Step-by-step explanation:we know thatTo graph a line we need to plot two pointsIf a point solve the linear equation, then the point is a solution of the linear equationstep 1Find the first point that solve the equationFind the x-interceptThe x-intercept is the value of x when the value of y is equal to zeroFor y=0[tex]x - 4(0) =-18[/tex][tex]x=-18[/tex]The x-intercept is the point (-18,0)step 2Find the second point that solve the equationFind the y-interceptThe y-intercept is the value of y when the value of x is equal to zeroFor x=0[tex]0 - 4y =-18[/tex][tex]-4y=-18[/tex][tex]y=4.5[/tex]The y-intercept is the point (0,4.5)step 3With the intercepts graph the linePlot the intercepts and join the points to graph the lineusing a graphing toolsee the attached figurestep 4Find the third point that solve the equationAssume a value for x and then solve for yI assume x=-2substitute in the linear equation and solve for y[tex]-2 - 4y =-18[/tex] Β [tex]-4y=-18+2[/tex][tex]-4y=-16[/tex][tex]y=4[/tex]The third point is the point (-2,4)