Question

Write the equation of the line in slope-intercept form that passes through the points (0,2.3)
(
0
,
2.3
)
, (5,−1.9)
(
5
,
−
1.9
)
.(1 point)
The equation in slope-intercept form is $$=x+.

Answer 1

To find the equation of the line in slope-intercept form (y = mx + b) that passes through the points (0, 2.3) and (5, -1.9), we need to determine the slope (m) and the y-intercept (b).

1. **Calculate the slope (m)** using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (0, 2.3)\) and \((x_2, y_2) = (5, -1.9)\):
\[
m = \frac{-1.9 - 2.3}{5 - 0} = \frac{-4.2}{5} = -0.84
\]

2. **Determine the y-intercept (b)**. Since the line passes through the point (0, 2.3), the y-intercept \(b\) is 2.3.

3. **Write the equation** in slope-intercept form:
\[
y = mx + b \implies y = -0.84x + 2.3
\]

Thus, the equation of the line in slope-intercept form is:
\[
y = -0.84x + 2.3
\]