Write the slope-intercept form of the equation of the line passing through (7,0) with slope 5.
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is 5 and the point (7, 0) lies on the line, we can substitute these values into the equation to find the y-intercept.
0 = 5(7) + b
0 = 35 + b
b = -35
Therefore, the slope-intercept form of the equation of the line passing through (7, 0) with slope 5 is y = 5x - 35.
The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.
Given that the line passes through the point (7, 0) with a slope of 5, we can substitute these values into the equation.
So, the equation becomes:
y = 5x + b
To find the value of b (the y-intercept), we substitute the coordinates of the point (7, 0) into the equation:
0 = 5(7) + b
Simplifying the equation, we have:
0 = 35 + b
To isolate b, we subtract 35 from both sides:
-35 = b
Therefore, the slope-intercept form of the equation of the line passing through the point (7, 0) with a slope of 5 is y = 5x - 35.
To write the slope-intercept form of the equation, we need to use the information given: the point (7, 0) and the slope, which is 5.
The slope-intercept form of a line equation is given by: y = mx + b, where m is the slope and b is the y-intercept.
First, let's plug in the value of the slope, which is 5:
y = 5x + b
Next, we need to find the value of b, the y-intercept, using the given point (7, 0). To do this, substitute the x-coordinate and y-coordinate of the point into the equation and solve for b:
0 = 5(7) + b
Now, simplify the equation:
0 = 35 + b
To isolate b, subtract 35 from both sides:
b = -35
Now that we have the value of b, we can write the equation of the line in slope-intercept form:
y = 5x - 35
So, the slope-intercept form of the line passing through (7, 0) with slope 5 is y = 5x - 35.