Question

Write the linear equation in Slope-Intercept Form y = mx + b of the line that passes through the given points, then graph

the line.

Answer 1

y = 3x + 7.

To graph the line mark off the 2 points and draw a line through them.

Explanation:

The slope = (-2-7) / (-3-0)

= -9/-3

= 3.

The value of b is found using the point-slope form of a line:

y - y1 = m(x - x1)

using m = 3, (x1, y1) = (0, 7):

y - 7 = 3(x - 0)

y = 3x + 7.

Answer 2

The equation in Slope-Intercept Form is y = 3x + 7.

The linear equation in Slope-Intercept Form, y = mx + b, of the line that passes through the points (0, 7) and (-3, -2), along with its graph:

1. Finding the slope (m):

m = (y2 - y1) / (x2 - x1)

m = (-2 - 7) / (-3 - 0)

m = -9 / -3

m = 3

2. Finding the y-intercept (b):

We can use either of the given points to plug into the equation y = mx + b to solve for b. Let's use the point (0, 7):

7 = 3(0) + b

7 = 0 + b

b = 7

3. Writing the equation in Slope-Intercept Form:

y = mx + b

y = 3x + 7