Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign. TX Algebra 1_A5.05_Linear Inequalities

What inequality is shown in the graph?

y > 4x + 1

Step-by-step explanation:

Look at the graph. The y-intercept is 1, so we have

y = mx + 1

Now let's find the slope.

Go from the intercept 4 units up and 1 unit to the right. You are at point (1, 5) which is a point on the graph.

slope = m = rise/run = 4/1 = 4

The equation of the dashed line is

y = 4x + 1

The shaded area is "above" the line, so the inequality is

y > 4x + 1

We graph inequalities like we graph equations but with an extra step of ... We draw a solid line (not dashed) because we're dealing with an "or equal to" inequality. The solid line indicates that points on the line are solutions to the inequality. ... put the graph in y-intercept form and determine if y is greater than or less than etc.

Step-by-step explanation: