What is they intercept of y = 12x - 7?

Question

While we areatit,what is a point on the line of the equation and the slope?

Answer 1

To find the intercepts, make the variables equal 0 in turn. We'll start with the y-intercept since that's the easiest in this case. Set x = 0:

y = 12 * 0 - 7

y = 0 - 7

y = -7

In the slope-intercept formula (y = mx + b), the y-intercept is the b-value. since -7 is the b-value here, that's the y intercept.

 

Now for the x intercept. Set y = 0:

0 = 12x - 7

0 + 7 = 12x - 7 + 7

7 = 12x

7 / 12 = 12x / 12

⁷/₁₂ = x

 

To find the slope, look at the slope-intercept formula above, and deduce which number is in the value for m.