Consider the graph shown.What is the slope of the graph?Write an equation for the line.PLEASE HELP I WILL MARK YOU BRAINLEST

Accepted Solution

Answer:[tex]Slope=\frac{3}{4}[/tex]The equation of line is [tex]y=\frac{3}{4}x+1[/tex] .Step-by-step explanation:If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]From the given graph it is clear that the line is passes through the points (0,1) and (4,4).[tex]Slope=\frac{4-1}{4-0}[/tex][tex]Slope=\frac{3}{4}[/tex]The The slope intercept form of a line is [tex]y=mx+b[/tex] where, m is slope and b is y-interceptThe slope of the line is [tex]\frac{3}{4}[/tex] and y-intercept is 1, so the equation of line is[tex]y=\frac{3}{4}x+1[/tex] Therefore, the equation of line is [tex]y=\frac{3}{4}x+1[/tex] .