Graph h(x)=23x+4
a line through the y-intercept (0,4)
with a slope of 23
To graph the equation h(x) = 23x + 4, you can follow these steps:
1. Draw the x and y axes on a graph paper to create a coordinate plane.
2. Identify the slope of the equation. The equation is in the form y = mx + b, where m represents the slope. In this case, the slope is 23.
3. Locate the y-intercept. The y-intercept is the point where the line crosses the y-axis. In this equation, the y-intercept is 4, so plot a point on the y-axis at (0, 4).
4. Use the slope to find other points on the line. Since the slope is 23 (which means for every unit increase in x, y increases by 23), you can choose another x-value such as 1, 2, -1, or -2, and calculate the corresponding y-values.
For example:
For x = 0, h(0) = 23(0) + 4 = 4. Plot the point (0, 4).
For x = 1, h(1) = 23(1) + 4 = 27. Plot the point (1, 27).
For x = -1, h(-1) = 23(-1) + 4 = -19. Plot the point (-1, -19).
5. Connect the plotted points with a straight line. Draw a line that passes through all the points you located. The line should be straight since the equation is in the form y = mx + b.
Your graph should now show a straight line with a slope of 23 that intersects the y-axis at the point (0, 4).