Question

in order to graph a linear equation in slope-interceot form, what do you need to know? what does the equation look like when the y-intercept of the line is equal to 0? what does the equation look like when it also has a slope equal to 1?

Answer 1

(a) Slope and y-intercept; (b) y = mx; (c) y = x + b

Explanation:

1. Need to know

Slope and y-intercept.

You use these numbers to calculate one other point. Then you draw a straight line between the y-intercept and the other point to get the graph.

2. y-Intercept = 0

The form of the equation is y = mx + b, where b is the y-intercept.

If the intercept is zero, b = 0, and the equation has the form

y = mx

The graph is a straight line passing through the origin.

3. Slope = 1

m represents the slope. If m = 1, the equation has the form

y = x + b

If the axes are scaled equally, the graph is a straight line that crosses the y-intercept at an angle of 45°.