Math

QuestionFind the intercepts of the line given by y=9x14y=-9x-14. No rounding needed. xx-intercept: yy-intercept:

Studdy Solution

STEP 1

Assumptions1. The given equation is in the form of a linear equation, y = mx + c, where m is the slope and c is the y-intercept. . The x-intercept is the point where the line crosses the x-axis (i.e., when y =0).
3. The y-intercept is the point where the line crosses the y-axis (i.e., when x =0).

STEP 2

To find the x-intercept, we set y =0 in the equation and solve for x.
0=9x140 = -9x -14

STEP 3

Now, we can solve this equation for x.
9x=14-9x =14

STEP 4

Divide both sides by -9 to isolate x.
x=149x = \frac{14}{-9}

STEP 5

implify the fraction to find the x-intercept.
x=149x = -\frac{14}{9}So, the x-intercept is 149-\frac{14}{9}.

STEP 6

To find the y-intercept, we set x =0 in the equation and solve for y.
y=9(0)14y = -9(0) -14

STEP 7

implify the equation to find the y-intercept.
y=14y = -14So, the y-intercept is -14.
The x-intercept is 149-\frac{14}{9} and the y-intercept is -14.

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