Question
ample 4: Find the slope and y-intercept of the line that passes through points C(-3,7) and D(2,0) tegy:
Solution
4.2
(249 Votes)
Nevaeh
Elite ยท Tutor for 8 years
Answer
### Slope:
, y-intercept:
Explanation
## Step 1: Calculate the slope### The slope (
) of a line passing through points
and
is given by the formula:
. Plugging in the coordinates of C(-3, 7) and D(2, 0), we get
.## Step 2: Find the y-intercept### We can use the point-slope form of a linear equation,
, with the slope we calculated and one of the given points (let's use D(2, 0)). Substituting the values, we get
, which simplifies to
. The y-intercept is the value of
when
, which is
.