equation :y=3x+7 what is the slope ,y intercept,and the lines are ?

Question

Equation is y=3x+7

Slope:?

Y-intercept:?

The lines are?

Why?

(Need answer ,I don't understand)

 

Answer 1

Liz,

The linear equation is given in slope-intercept form, y=mx + b. Here, m is the slope, b is the y-intercept and (x,y) represent any point on the line or the ordered pair that makes the linear equation true.

 

To answer your question,

the slope, m = 3;

the y-intercept, b=7; and to draw the line on the co-ordinate plane,

1. mark the point where the y-intercept is, b=7. since this is on the y-axis, you plot the ordered pair, (0,7)
2. From there, b, you count 3 units up and then 1 unit to the right, (since m=3/1 which is slope= rise/run) This point will be (1, 10)
3. Use a straight edge to connect these two points, (0,7) and (1,10) to define the line.
4. For the question "the lines are" and "why?" you only wrote one line, you need more lines to compare.