Question

Write the slope-intercept form of the equation for the line that passes through the point (-1,3) and has a slope of 5/3​

Answer 1

Answer:

$y=\frac{5}{3}x+4\frac{2}{3}$

Step-by-step explanation:

slope-intercept form: y = mx + b

Given:

Slope(m) = $\frac{5}{3}$

Point = (-1, 3)

To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:

$3=\frac{5}{3}(-1)+b$

$3=-\frac{5}{3}+b$

$4\frac{2}{3}=b$

Now that we know the values of b and m, we can write the equation:

$y = \frac{5}{3}x+4\frac{2}{3}$