Graph the line with slope 2 passing through the point (-5,-3)

To graph the line with slope 2 passing through the point (-5, -3), follow these steps:

Step 1: Plot the given point on the coordinate plane. The point (-5, -3) represents the x-coordinate -5 and the y-coordinate -3. Mark this point on the graph.

Step 2: Use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Step 3: Substitute the given values into the equation: y = 2x + b.

Step 4: Solve for the y-intercept, b, using the given point (-5, -3).
-3 = 2(-5) + b
-3 = -10 + b
b = -3 + 10
b = 7

Step 5: Substitute the values of the slope (m = 2) and the y-intercept (b = 7) back into the equation: y = 2x + 7.

Step 6: Plot at least two points on the line using the slope-intercept equation. You can choose any x-value and find the corresponding y-value using the equation.

Let's choose x = 0:
y = 2(0) + 7
y = 7
So, another point on the line is (0, 7).

Step 7: Draw a straight line passing through the two points (-5, -3) and (0, 7). This line represents the graph of the equation y = 2x + 7, which is the line with slope 2 passing through the point (-5,-3).

To graph a line with a given slope and passing through a given point, you can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

Where m is the slope of the line and (x1, y1) is the given point.

In this case, the slope is 2 and the point is (-5, -3).

Using the point-slope form, we can substitute the values:

y - (-3) = 2(x - (-5))

Simplifying further:

y + 3 = 2(x + 5)

Now, we can expand the equation:

y + 3 = 2x + 10

Subtracting 3 from both sides:

y = 2x + 7

Now, we have the equation of the line in slope-intercept form, form y = mx + b, where m is the slope and b is the y-intercept.

The slope of the line is 2, which means for every increase of 1 in the x-coordinate, the y-coordinate increases by 2.

The y-intercept of the line is 7, which means the line intersects the y-axis at the point (0, 7).

To graph the line, plot the given point (-5, -3) on the Cartesian plane, and use the slope to find other points on the line. Connect all the points to obtain the graph of the line.

plot the point (-5,-3)

Now move up 2, right 1, and plot that point.
Draw a line through those two points.
Review slopes and lines.

Cannot graph on these posts.